---
_id: '40172'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. Short-time estimates for heat kernels associated with root systems.
    In: <i>Special Functions (HongKong 1999)</i>. World Scientific; 2000:309-323.
    doi:<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>'
  apa: Rösler, M. (2000). Short-time estimates for heat kernels associated with root
    systems. <i>Special Functions (HongKong 1999)</i>, 309–323. <a href="https://doi.org/10.1142/9789812792303_0024">https://doi.org/10.1142/9789812792303_0024</a>
  bibtex: '@inproceedings{Rösler_2000, title={Short-time estimates for heat kernels
    associated with root systems}, DOI={<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>},
    booktitle={Special Functions (HongKong 1999)}, publisher={World Scientific}, author={Rösler,
    Margit}, year={2000}, pages={309–323} }'
  chicago: Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with
    Root Systems.” In <i>Special Functions (HongKong 1999)</i>, 309–23. World Scientific,
    2000. <a href="https://doi.org/10.1142/9789812792303_0024">https://doi.org/10.1142/9789812792303_0024</a>.
  ieee: 'M. Rösler, “Short-time estimates for heat kernels associated with root systems,”
    in <i>Special Functions (HongKong 1999)</i>, 2000, pp. 309–323, doi: <a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>.'
  mla: Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root
    Systems.” <i>Special Functions (HongKong 1999)</i>, World Scientific, 2000, pp.
    309–23, doi:<a href="https://doi.org/10.1142/9789812792303_0024">10.1142/9789812792303_0024</a>.
  short: 'M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000,
    pp. 309–323.'
date_created: 2023-01-26T07:59:08Z
date_updated: 2023-01-26T17:43:19Z
department:
- _id: '555'
doi: 10.1142/9789812792303_0024
extern: '1'
language:
- iso: eng
page: 309-323
publication: Special Functions (HongKong 1999)
publication_status: published
publisher: World Scientific
status: public
title: Short-time estimates for heat kernels associated with root systems
type: conference
user_id: '37390'
year: '2000'
...
---
_id: '34900'
abstract:
- lang: eng
  text: We describe methods for the computation of Galois groups of univariate polynomials
    over the rationals which we have implemented up to degree 15. These methods are
    based on Stauduhar’s algorithm. All computations are done in unramified p -adic
    extensions. For imprimitive groups we give an improvement using subfields. In
    the primitive case we use known subgroups of the Galois group together with a
    combination of Stauduhar’s method and the absolute resolvent method.
author:
- first_name: Katharina
  full_name: Geissler, Katharina
  last_name: Geissler
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Geissler K, Klüners J. Galois Group Computation for Rational Polynomials. <i>Journal
    of Symbolic Computation</i>. 2000;30(6):653-674. doi:<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>
  apa: Geissler, K., &#38; Klüners, J. (2000). Galois Group Computation for Rational
    Polynomials. <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 653–674. <a
    href="https://doi.org/10.1006/jsco.2000.0377">https://doi.org/10.1006/jsco.2000.0377</a>
  bibtex: '@article{Geissler_Klüners_2000, title={Galois Group Computation for Rational
    Polynomials}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Geissler, Katharina and Klüners, Jürgen}, year={2000}, pages={653–674}
    }'
  chicago: 'Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for
    Rational Polynomials.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000):
    653–74. <a href="https://doi.org/10.1006/jsco.2000.0377">https://doi.org/10.1006/jsco.2000.0377</a>.'
  ieee: 'K. Geissler and J. Klüners, “Galois Group Computation for Rational Polynomials,”
    <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 653–674, 2000, doi:
    <a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>.'
  mla: Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational
    Polynomials.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier
    BV, 2000, pp. 653–74, doi:<a href="https://doi.org/10.1006/jsco.2000.0377">10.1006/jsco.2000.0377</a>.
  short: K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.
date_created: 2022-12-23T09:58:16Z
date_updated: 2023-03-06T09:58:06Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0377
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 653-674
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Galois Group Computation for Rational Polynomials
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34901'
abstract:
- lang: eng
  text: Let L = K(α) be an Abelian extension of degree n of a number field K, given
    by the minimal polynomial of α over K. We describe an algorithm for computing
    the local Artin map associated with the extension L / K at a finite or infinite
    prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from
    L, assuming that L / K is cyclic.
author:
- first_name: Vincenzo
  full_name: Acciaro, Vincenzo
  last_name: Acciaro
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations.
    <i>Journal of Symbolic Computation</i>. 2000;30(3):239-252. doi:<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>
  apa: Acciaro, V., &#38; Klüners, J. (2000). Computing Local Artin Maps, and Solvability
    of Norm Equations. <i>Journal of Symbolic Computation</i>, <i>30</i>(3), 239–252.
    <a href="https://doi.org/10.1006/jsco.2000.0361">https://doi.org/10.1006/jsco.2000.0361</a>
  bibtex: '@article{Acciaro_Klüners_2000, title={Computing Local Artin Maps, and Solvability
    of Norm Equations}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>},
    number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Acciaro, Vincenzo and Klüners, Jürgen}, year={2000}, pages={239–252} }'
  chicago: 'Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and
    Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i> 30, no.
    3 (2000): 239–52. <a href="https://doi.org/10.1006/jsco.2000.0361">https://doi.org/10.1006/jsco.2000.0361</a>.'
  ieee: 'V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of
    Norm Equations,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, pp. 239–252,
    2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>.'
  mla: Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability
    of Norm Equations.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, Elsevier
    BV, 2000, pp. 239–52, doi:<a href="https://doi.org/10.1006/jsco.2000.0361">10.1006/jsco.2000.0361</a>.
  short: V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.
date_created: 2022-12-23T09:58:48Z
date_updated: 2023-03-06T09:57:34Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0361
intvolume: '        30'
issue: '3'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 239-252
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Computing Local Artin Maps, and Solvability of Norm Equations
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34899'
abstract:
- lang: eng
  text: We describe methods for the construction of polynomials with certain types
    of Galois groups. As an application we deduce that all transitive groups G up
    to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each
    case compute a polynomial f ∈ ℚ [ x ] with Gal(f)  = G.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Gunter
  full_name: Malle, Gunter
  last_name: Malle
citation:
  ama: Klüners J, Malle G. Explicit Galois Realization of Transitive Groups of Degree
    up to 15. <i>Journal of Symbolic Computation</i>. 2000;30(6):675-716. doi:<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>
  apa: Klüners, J., &#38; Malle, G. (2000). Explicit Galois Realization of Transitive
    Groups of Degree up to 15. <i>Journal of Symbolic Computation</i>, <i>30</i>(6),
    675–716. <a href="https://doi.org/10.1006/jsco.2000.0378">https://doi.org/10.1006/jsco.2000.0378</a>
  bibtex: '@article{Klüners_Malle_2000, title={Explicit Galois Realization of Transitive
    Groups of Degree up to 15}, volume={30}, DOI={<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen and Malle, Gunter}, year={2000}, pages={675–716} }'
  chicago: 'Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive
    Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000):
    675–716. <a href="https://doi.org/10.1006/jsco.2000.0378">https://doi.org/10.1006/jsco.2000.0378</a>.'
  ieee: 'J. Klüners and G. Malle, “Explicit Galois Realization of Transitive Groups
    of Degree up to 15,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp.
    675–716, 2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>.'
  mla: Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive
    Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i>, vol. 30, no.
    6, Elsevier BV, 2000, pp. 675–716, doi:<a href="https://doi.org/10.1006/jsco.2000.0378">10.1006/jsco.2000.0378</a>.
  short: J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.
date_created: 2022-12-23T09:57:28Z
date_updated: 2023-03-06T10:48:05Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0378
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 675-716
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Explicit Galois Realization of Transitive Groups of Degree up to 15
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '34898'
abstract:
- lang: eng
  text: We compute a polynomial with Galois group SL₂(11) over ℚ. Furthermore we prove
    that SL₂(11) is the Galois group of a regular extension of ℚ (t).
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic Computation</i>.
    2000;30(6):733-737. doi:<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>
  apa: Klüners, J. (2000). A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic
    Computation</i>, <i>30</i>(6), 733–737. <a href="https://doi.org/10.1006/jsco.2000.0380">https://doi.org/10.1006/jsco.2000.0380</a>
  bibtex: '@article{Klüners_2000, title={A Polynomial with Galois GroupSL2(11)}, volume={30},
    DOI={<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>},
    number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen}, year={2000}, pages={733–737} }'
  chicago: 'Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of
    Symbolic Computation</i> 30, no. 6 (2000): 733–37. <a href="https://doi.org/10.1006/jsco.2000.0380">https://doi.org/10.1006/jsco.2000.0380</a>.'
  ieee: 'J. Klüners, “A Polynomial with Galois GroupSL2(11),” <i>Journal of Symbolic
    Computation</i>, vol. 30, no. 6, pp. 733–737, 2000, doi: <a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>.'
  mla: Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of Symbolic
    Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 733–37, doi:<a href="https://doi.org/10.1006/jsco.2000.0380">10.1006/jsco.2000.0380</a>.
  short: J. Klüners, Journal of Symbolic Computation 30 (2000) 733–737.
date_created: 2022-12-23T09:56:52Z
date_updated: 2023-03-06T10:48:40Z
department:
- _id: '102'
doi: 10.1006/jsco.2000.0380
intvolume: '        30'
issue: '6'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 733-737
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: A Polynomial with Galois GroupSL2(11)
type: journal_article
user_id: '93826'
volume: 30
year: '2000'
...
---
_id: '64726'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Representations of cones and conelike semigroups. <i>Semigroup
    Forum</i>. 2000;60(2):326–333. doi:<a href="https://doi.org/10.1007/s002339910025">10.1007/s002339910025</a>
  apa: Glöckner, H. (2000). Representations of cones and conelike semigroups. <i>Semigroup
    Forum</i>, <i>60</i>(2), 326–333. <a href="https://doi.org/10.1007/s002339910025">https://doi.org/10.1007/s002339910025</a>
  bibtex: '@article{Glöckner_2000, title={Representations of cones and conelike semigroups},
    volume={60}, DOI={<a href="https://doi.org/10.1007/s002339910025">10.1007/s002339910025</a>},
    number={2}, journal={Semigroup Forum}, author={Glöckner, Helge}, year={2000},
    pages={326–333} }'
  chicago: 'Glöckner, Helge. “Representations of Cones and Conelike Semigroups.” <i>Semigroup
    Forum</i> 60, no. 2 (2000): 326–333. <a href="https://doi.org/10.1007/s002339910025">https://doi.org/10.1007/s002339910025</a>.'
  ieee: 'H. Glöckner, “Representations of cones and conelike semigroups,” <i>Semigroup
    Forum</i>, vol. 60, no. 2, pp. 326–333, 2000, doi: <a href="https://doi.org/10.1007/s002339910025">10.1007/s002339910025</a>.'
  mla: Glöckner, Helge. “Representations of Cones and Conelike Semigroups.” <i>Semigroup
    Forum</i>, vol. 60, no. 2, 2000, pp. 326–333, doi:<a href="https://doi.org/10.1007/s002339910025">10.1007/s002339910025</a>.
  short: H. Glöckner, Semigroup Forum 60 (2000) 326–333.
date_created: 2026-02-26T13:28:00Z
date_updated: 2026-02-26T13:29:42Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s002339910025
extern: '1'
intvolume: '        60'
issue: '2'
keyword:
- 43A35
- 44A10
- 43A65
- 47B15
language:
- iso: eng
page: 326–333
publication: Semigroup Forum
publication_identifier:
  issn:
  - 0037-1912
quality_controlled: '1'
status: public
title: Representations of cones and conelike semigroups
type: journal_article
user_id: '178'
volume: 60
year: '2000'
...
---
_id: '16511'
author:
- first_name: Philip J.
  full_name: Aston, Philip J.
  last_name: Aston
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration
    with application to blowout bifurcations. <i>Computer Methods in Applied Mechanics
    and Engineering</i>. 1999:223-237. doi:<a href="https://doi.org/10.1016/s0045-7825(98)00196-0">10.1016/s0045-7825(98)00196-0</a>
  apa: Aston, P. J., &#38; Dellnitz, M. (1999). The computation of lyapunov exponents
    via spatial integration with application to blowout bifurcations. <i>Computer
    Methods in Applied Mechanics and Engineering</i>, 223–237. <a href="https://doi.org/10.1016/s0045-7825(98)00196-0">https://doi.org/10.1016/s0045-7825(98)00196-0</a>
  bibtex: '@article{Aston_Dellnitz_1999, title={The computation of lyapunov exponents
    via spatial integration with application to blowout bifurcations}, DOI={<a href="https://doi.org/10.1016/s0045-7825(98)00196-0">10.1016/s0045-7825(98)00196-0</a>},
    journal={Computer Methods in Applied Mechanics and Engineering}, author={Aston,
    Philip J. and Dellnitz, Michael}, year={1999}, pages={223–237} }'
  chicago: Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents
    via Spatial Integration with Application to Blowout Bifurcations.” <i>Computer
    Methods in Applied Mechanics and Engineering</i>, 1999, 223–37. <a href="https://doi.org/10.1016/s0045-7825(98)00196-0">https://doi.org/10.1016/s0045-7825(98)00196-0</a>.
  ieee: P. J. Aston and M. Dellnitz, “The computation of lyapunov exponents via spatial
    integration with application to blowout bifurcations,” <i>Computer Methods in
    Applied Mechanics and Engineering</i>, pp. 223–237, 1999.
  mla: Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents
    via Spatial Integration with Application to Blowout Bifurcations.” <i>Computer
    Methods in Applied Mechanics and Engineering</i>, 1999, pp. 223–37, doi:<a href="https://doi.org/10.1016/s0045-7825(98)00196-0">10.1016/s0045-7825(98)00196-0</a>.
  short: P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering
    (1999) 223–237.
date_created: 2020-04-15T07:27:08Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1016/s0045-7825(98)00196-0
language:
- iso: eng
page: 223-237
publication: Computer Methods in Applied Mechanics and Engineering
publication_identifier:
  issn:
  - 0045-7825
publication_status: published
status: public
title: The computation of lyapunov exponents via spatial integration with application
  to blowout bifurcations
type: journal_article
user_id: '15701'
year: '1999'
...
---
_id: '16537'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
citation:
  ama: Dellnitz M, Junge O. On the Approximation of Complicated Dynamical Behavior.
    <i>SIAM Journal on Numerical Analysis</i>. 1999:491-515. doi:<a href="https://doi.org/10.1137/s0036142996313002">10.1137/s0036142996313002</a>
  apa: Dellnitz, M., &#38; Junge, O. (1999). On the Approximation of Complicated Dynamical
    Behavior. <i>SIAM Journal on Numerical Analysis</i>, 491–515. <a href="https://doi.org/10.1137/s0036142996313002">https://doi.org/10.1137/s0036142996313002</a>
  bibtex: '@article{Dellnitz_Junge_1999, title={On the Approximation of Complicated
    Dynamical Behavior}, DOI={<a href="https://doi.org/10.1137/s0036142996313002">10.1137/s0036142996313002</a>},
    journal={SIAM Journal on Numerical Analysis}, author={Dellnitz, Michael and Junge,
    Oliver}, year={1999}, pages={491–515} }'
  chicago: Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated
    Dynamical Behavior.” <i>SIAM Journal on Numerical Analysis</i>, 1999, 491–515.
    <a href="https://doi.org/10.1137/s0036142996313002">https://doi.org/10.1137/s0036142996313002</a>.
  ieee: M. Dellnitz and O. Junge, “On the Approximation of Complicated Dynamical Behavior,”
    <i>SIAM Journal on Numerical Analysis</i>, pp. 491–515, 1999.
  mla: Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical
    Behavior.” <i>SIAM Journal on Numerical Analysis</i>, 1999, pp. 491–515, doi:<a
    href="https://doi.org/10.1137/s0036142996313002">10.1137/s0036142996313002</a>.
  short: M. Dellnitz, O. Junge, SIAM Journal on Numerical Analysis (1999) 491–515.
date_created: 2020-04-15T08:35:45Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1137/s0036142996313002
language:
- iso: eng
page: 491-515
publication: SIAM Journal on Numerical Analysis
publication_identifier:
  issn:
  - 0036-1429
  - 1095-7170
publication_status: published
status: public
title: On the Approximation of Complicated Dynamical Behavior
type: journal_article
user_id: '15701'
year: '1999'
...
---
_id: '16584'
author:
- first_name: Peter
  full_name: Deuflhard, Peter
  last_name: Deuflhard
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Christof
  full_name: Schütte, Christof
  last_name: Schütte
citation:
  ama: 'Deuflhard P, Dellnitz M, Junge O, Schütte C. Computation of Essential Molecular
    Dynamics by Subdivision Techniques. In: <i>Computational Molecular Dynamics: Challenges,
    Methods, Ideas</i>. Berlin, Heidelberg; 1999. doi:<a href="https://doi.org/10.1007/978-3-642-58360-5_5">10.1007/978-3-642-58360-5_5</a>'
  apa: 'Deuflhard, P., Dellnitz, M., Junge, O., &#38; Schütte, C. (1999). Computation
    of Essential Molecular Dynamics by Subdivision Techniques. In <i>Computational
    Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg. <a href="https://doi.org/10.1007/978-3-642-58360-5_5">https://doi.org/10.1007/978-3-642-58360-5_5</a>'
  bibtex: '@inbook{Deuflhard_Dellnitz_Junge_Schütte_1999, place={Berlin, Heidelberg},
    title={Computation of Essential Molecular Dynamics by Subdivision Techniques},
    DOI={<a href="https://doi.org/10.1007/978-3-642-58360-5_5">10.1007/978-3-642-58360-5_5</a>},
    booktitle={Computational Molecular Dynamics: Challenges, Methods, Ideas}, author={Deuflhard,
    Peter and Dellnitz, Michael and Junge, Oliver and Schütte, Christof}, year={1999}
    }'
  chicago: 'Deuflhard, Peter, Michael Dellnitz, Oliver Junge, and Christof Schütte.
    “Computation of Essential Molecular Dynamics by Subdivision Techniques.” In <i>Computational
    Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg, 1999.
    <a href="https://doi.org/10.1007/978-3-642-58360-5_5">https://doi.org/10.1007/978-3-642-58360-5_5</a>.'
  ieee: 'P. Deuflhard, M. Dellnitz, O. Junge, and C. Schütte, “Computation of Essential
    Molecular Dynamics by Subdivision Techniques,” in <i>Computational Molecular Dynamics:
    Challenges, Methods, Ideas</i>, Berlin, Heidelberg, 1999.'
  mla: 'Deuflhard, Peter, et al. “Computation of Essential Molecular Dynamics by Subdivision
    Techniques.” <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>,
    1999, doi:<a href="https://doi.org/10.1007/978-3-642-58360-5_5">10.1007/978-3-642-58360-5_5</a>.'
  short: 'P. Deuflhard, M. Dellnitz, O. Junge, C. Schütte, in: Computational Molecular
    Dynamics: Challenges, Methods, Ideas, Berlin, Heidelberg, 1999.'
date_created: 2020-04-16T05:43:16Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/978-3-642-58360-5_5
language:
- iso: eng
place: Berlin, Heidelberg
publication: 'Computational Molecular Dynamics: Challenges, Methods, Ideas'
publication_identifier:
  isbn:
  - '9783540632429'
  - '9783642583605'
  issn:
  - 1439-7358
publication_status: published
status: public
title: Computation of Essential Molecular Dynamics by Subdivision Techniques
type: book_chapter
user_id: '15701'
year: '1999'
...
---
_id: '17017'
author:
- first_name: David
  full_name: Bürkle, David
  last_name: Bürkle
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Martin
  full_name: Rumpf, Martin
  last_name: Rumpf
- first_name: Michael
  full_name: Spielberg, Michael
  last_name: Spielberg
citation:
  ama: Bürkle D, Dellnitz M, Junge O, Rumpf M, Spielberg M. Visualizing Complicated
    Dynamics. <i>Proceedings of Visualization 99</i>. 1999.
  apa: Bürkle, D., Dellnitz, M., Junge, O., Rumpf, M., &#38; Spielberg, M. (1999).
    Visualizing Complicated Dynamics. <i>Proceedings of Visualization 99</i>.
  bibtex: '@article{Bürkle_Dellnitz_Junge_Rumpf_Spielberg_1999, title={Visualizing
    Complicated Dynamics}, journal={Proceedings of Visualization 99}, author={Bürkle,
    David and Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Spielberg,
    Michael}, year={1999} }'
  chicago: Bürkle, David, Michael Dellnitz, Oliver Junge, Martin Rumpf, and Michael
    Spielberg. “Visualizing Complicated Dynamics.” <i>Proceedings of Visualization
    99</i>, 1999.
  ieee: D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, and M. Spielberg, “Visualizing
    Complicated Dynamics,” <i>Proceedings of Visualization 99</i>, 1999.
  mla: Bürkle, David, et al. “Visualizing Complicated Dynamics.” <i>Proceedings of
    Visualization 99</i>, 1999.
  short: D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, M. Spielberg, Proceedings of
    Visualization 99 (1999).
date_created: 2020-05-19T09:12:53Z
date_updated: 2022-01-06T06:53:02Z
department:
- _id: '101'
language:
- iso: eng
publication: Proceedings of Visualization 99
status: public
title: Visualizing Complicated Dynamics
type: journal_article
user_id: '32643'
year: '1999'
...
---
_id: '51422'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: B.
  full_name: Krötz, B.
  last_name: Krötz
citation:
  ama: Hilgert J, Krötz B. Representations, Characters, and Spherical Functions Associated
    to Causal Symmetric Spaces. <i>J Funct Anal</i>. 1999;169:357-390.
  apa: Hilgert, J., &#38; Krötz, B. (1999). Representations, Characters, and Spherical
    Functions Associated to Causal Symmetric Spaces. <i>J. Funct. Anal.</i>, <i>169</i>,
    357–390.
  bibtex: '@article{Hilgert_Krötz_1999, title={Representations, Characters, and Spherical
    Functions Associated to Causal Symmetric Spaces}, volume={169}, journal={J. Funct.
    Anal.}, author={Hilgert, Joachim and Krötz, B.}, year={1999}, pages={357–390}
    }'
  chicago: 'Hilgert, Joachim, and B. Krötz. “Representations, Characters, and Spherical
    Functions Associated to Causal Symmetric Spaces.” <i>J. Funct. Anal.</i> 169 (1999):
    357–90.'
  ieee: J. Hilgert and B. Krötz, “Representations, Characters, and Spherical Functions
    Associated to Causal Symmetric Spaces,” <i>J. Funct. Anal.</i>, vol. 169, pp.
    357–390, 1999.
  mla: Hilgert, Joachim, and B. Krötz. “Representations, Characters, and Spherical
    Functions Associated to Causal Symmetric Spaces.” <i>J. Funct. Anal.</i>, vol.
    169, 1999, pp. 357–90.
  short: J. Hilgert, B. Krötz, J. Funct. Anal. 169 (1999) 357–390.
date_created: 2024-02-19T07:15:28Z
date_updated: 2024-02-19T07:17:05Z
department:
- _id: '91'
intvolume: '       169'
language:
- iso: eng
page: 357-390
publication: J. Funct. Anal.
publication_status: published
status: public
title: Representations, Characters, and Spherical Functions Associated to Causal Symmetric
  Spaces
type: journal_article
user_id: '49063'
volume: 169
year: '1999'
...
---
_id: '51581'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and
    Multiplicity Diagrams   (Cambridge University Press, 1996). <i>JBer DMV</i>. 1999;101.
  apa: Hilgert, J. (1999). Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration
    and Multiplicity Diagrams   (Cambridge University Press, 1996). In <i>JBer. DMV</i>
    (Vol. 101).
  bibtex: '@article{Hilgert_1999, title={Guillemin, V., E. Lerman, S. Sternberg. Symplectic
    fibration and Multiplicity Diagrams   (Cambridge University Press, 1996)}, volume={101},
    journal={JBer. DMV}, author={Hilgert, Joachim}, year={1999} }'
  chicago: Hilgert, Joachim. “Guillemin, V., E. Lerman, S. Sternberg. Symplectic Fibration
    and Multiplicity Diagrams   (Cambridge University Press, 1996).” <i>JBer. DMV</i>,
    1999.
  ieee: J. Hilgert, “Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration
    and Multiplicity Diagrams   (Cambridge University Press, 1996),” <i>JBer. DMV</i>,
    vol. 101. 1999.
  mla: Hilgert, Joachim. “Guillemin, V., E. Lerman, S. Sternberg. Symplectic Fibration
    and Multiplicity Diagrams   (Cambridge University Press, 1996).” <i>JBer. DMV</i>,
    vol. 101, 1999.
  short: J. Hilgert, JBer. DMV 101 (1999).
date_created: 2024-02-20T12:22:27Z
date_updated: 2024-02-20T13:30:44Z
department:
- _id: '91'
extern: '1'
intvolume: '       101'
language:
- iso: eng
publication: JBer. DMV
publication_status: published
status: public
title: Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity
  Diagrams   (Cambridge University Press, 1996)
type: review
user_id: '49063'
volume: 101
year: '1999'
...
---
_id: '51424'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: A.
  full_name: Neumann , A.
  last_name: 'Neumann '
- first_name: G.
  full_name: Ólafsson, G.
  last_name: Ólafsson
citation:
  ama: Hilgert J, Neumann  A, Ólafsson G. A Conjugacy Theorem for Symmetric Spaces.
    <i>Math Annalen</i>. 1999;313:785-791.
  apa: Hilgert, J., Neumann , A., &#38; Ólafsson, G. (1999). A Conjugacy Theorem for
    Symmetric Spaces. <i>Math. Annalen</i>, <i>313</i>, 785–791.
  bibtex: '@article{Hilgert_Neumann _Ólafsson_1999, title={A Conjugacy Theorem for
    Symmetric Spaces}, volume={313}, journal={Math. Annalen}, author={Hilgert, Joachim
    and Neumann , A. and Ólafsson, G.}, year={1999}, pages={785–791} }'
  chicago: 'Hilgert, Joachim, A. Neumann , and G. Ólafsson. “A Conjugacy Theorem for
    Symmetric Spaces.” <i>Math. Annalen</i> 313 (1999): 785–91.'
  ieee: J. Hilgert, A. Neumann , and G. Ólafsson, “A Conjugacy Theorem for Symmetric
    Spaces,” <i>Math. Annalen</i>, vol. 313, pp. 785–791, 1999.
  mla: Hilgert, Joachim, et al. “A Conjugacy Theorem for Symmetric Spaces.” <i>Math.
    Annalen</i>, vol. 313, 1999, pp. 785–91.
  short: J. Hilgert, A. Neumann , G. Ólafsson, Math. Annalen 313 (1999) 785–791.
date_created: 2024-02-19T07:17:56Z
date_updated: 2024-02-20T13:30:50Z
department:
- _id: '91'
extern: '1'
intvolume: '       313'
language:
- iso: eng
page: 785-791
publication: Math. Annalen
publication_status: published
status: public
title: A Conjugacy Theorem for Symmetric Spaces
type: journal_article
user_id: '49063'
volume: 313
year: '1999'
...
---
_id: '51423'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: B.
  full_name: Krötz, B.
  last_name: Krötz
citation:
  ama: Hilgert J, Krötz B. Weighted Bergman Spaces Associated to Causal Symmetric
    Spaces. <i>Manus Math</i>. 1999;99:151-180.
  apa: Hilgert, J., &#38; Krötz, B. (1999). Weighted Bergman Spaces Associated to
    Causal Symmetric Spaces. <i>Manus. Math.</i>, <i>99</i>, 151–180.
  bibtex: '@article{Hilgert_Krötz_1999, title={Weighted Bergman Spaces Associated
    to Causal Symmetric Spaces}, volume={99}, journal={Manus. Math.}, author={Hilgert,
    Joachim and Krötz, B.}, year={1999}, pages={151–180} }'
  chicago: 'Hilgert, Joachim, and B. Krötz. “Weighted Bergman Spaces Associated to
    Causal Symmetric Spaces.” <i>Manus. Math.</i> 99 (1999): 151–80.'
  ieee: J. Hilgert and B. Krötz, “Weighted Bergman Spaces Associated to Causal Symmetric
    Spaces,” <i>Manus. Math.</i>, vol. 99, pp. 151–180, 1999.
  mla: Hilgert, Joachim, and B. Krötz. “Weighted Bergman Spaces Associated to Causal
    Symmetric Spaces.” <i>Manus. Math.</i>, vol. 99, 1999, pp. 151–80.
  short: J. Hilgert, B. Krötz, Manus. Math. 99 (1999) 151–180.
date_created: 2024-02-19T07:16:14Z
date_updated: 2024-02-20T13:31:09Z
department:
- _id: '91'
extern: '1'
intvolume: '        99'
language:
- iso: eng
page: 151-180
publication: Manus. Math.
publication_status: published
status: public
title: Weighted Bergman Spaces Associated to Causal Symmetric Spaces
type: journal_article
user_id: '49063'
volume: 99
year: '1999'
...
---
_id: '51421'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: K.-H.
  full_name: Neeb, K.-H.
  last_name: Neeb
citation:
  ama: Hilgert J, Neeb K-H. Positive Definite Spherical Functions on Olshanskii Domains.
    <i>Trans AMS</i>. 1999;352:1345-1380.
  apa: Hilgert, J., &#38; Neeb, K.-H. (1999). Positive Definite Spherical Functions
    on Olshanskii Domains. <i>Trans. AMS.</i>, <i>352</i>, 1345–1380.
  bibtex: '@article{Hilgert_Neeb_1999, title={Positive Definite Spherical Functions
    on Olshanskii Domains}, volume={352}, journal={Trans. AMS.}, author={Hilgert,
    Joachim and Neeb, K.-H.}, year={1999}, pages={1345–1380} }'
  chicago: 'Hilgert, Joachim, and K.-H. Neeb. “Positive Definite Spherical Functions
    on Olshanskii Domains.” <i>Trans. AMS.</i> 352 (1999): 1345–80.'
  ieee: J. Hilgert and K.-H. Neeb, “Positive Definite Spherical Functions on Olshanskii
    Domains,” <i>Trans. AMS.</i>, vol. 352, pp. 1345–1380, 1999.
  mla: Hilgert, Joachim, and K. H. Neeb. “Positive Definite Spherical Functions on
    Olshanskii Domains.” <i>Trans. AMS.</i>, vol. 352, 1999, pp. 1345–80.
  short: J. Hilgert, K.-H. Neeb, Trans. AMS. 352 (1999) 1345–1380.
date_created: 2024-02-19T07:14:41Z
date_updated: 2024-02-20T13:31:12Z
department:
- _id: '91'
extern: '1'
intvolume: '       352'
language:
- iso: eng
page: 1345-1380
publication: Trans. AMS.
publication_status: published
status: public
title: Positive Definite Spherical Functions on Olshanskii Domains
type: journal_article
user_id: '49063'
volume: 352
year: '1999'
...
---
_id: '40184'
abstract:
- lang: eng
  text: <jats:p>This note presents an analogue of the classical Heisenberg-Weyl uncertainty
    principle for the Dunkl transform on ℝ<jats:sup><jats:italic>N</jats:italic></jats:sup>.
    Its proof is based on expansions with respect to generalised Hermite functions.</jats:p>
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. An uncertainty principle for the Dunkl transform. <i>Bulletin of
    the Australian Mathematical Society</i>. 1999;59(3):353-360. doi:<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>
  apa: Rösler, M. (1999). An uncertainty principle for the Dunkl transform. <i>Bulletin
    of the Australian Mathematical Society</i>, <i>59</i>(3), 353–360. <a href="https://doi.org/10.1017/s0004972700033025">https://doi.org/10.1017/s0004972700033025</a>
  bibtex: '@article{Rösler_1999, title={An uncertainty principle for the Dunkl transform},
    volume={59}, DOI={<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>},
    number={3}, journal={Bulletin of the Australian Mathematical Society}, publisher={Cambridge
    University Press (CUP)}, author={Rösler, Margit}, year={1999}, pages={353–360}
    }'
  chicago: 'Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin
    of the Australian Mathematical Society</i> 59, no. 3 (1999): 353–60. <a href="https://doi.org/10.1017/s0004972700033025">https://doi.org/10.1017/s0004972700033025</a>.'
  ieee: 'M. Rösler, “An uncertainty principle for the Dunkl transform,” <i>Bulletin
    of the Australian Mathematical Society</i>, vol. 59, no. 3, pp. 353–360, 1999,
    doi: <a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>.'
  mla: Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin
    of the Australian Mathematical Society</i>, vol. 59, no. 3, Cambridge University
    Press (CUP), 1999, pp. 353–60, doi:<a href="https://doi.org/10.1017/s0004972700033025">10.1017/s0004972700033025</a>.
  short: M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.
date_created: 2023-01-26T08:19:30Z
date_updated: 2023-01-26T17:40:13Z
department:
- _id: '555'
doi: 10.1017/s0004972700033025
extern: '1'
intvolume: '        59'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 353-360
publication: Bulletin of the Australian Mathematical Society
publication_identifier:
  issn:
  - 0004-9727
  - 1755-1633
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: An uncertainty principle for the Dunkl transform
type: journal_article
user_id: '93826'
volume: 59
year: '1999'
...
---
_id: '40189'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. Positivity of Dunkl’s intertwining operator. <i>Duke Mathematical
    Journal</i>. 1999;98(3):445-463. doi:<a href="https://doi.org/10.1215/s0012-7094-99-09813-7">10.1215/s0012-7094-99-09813-7</a>
  apa: Rösler, M. (1999). Positivity of Dunkl’s intertwining operator. <i>Duke Mathematical
    Journal</i>, <i>98</i>(3), 445–463. <a href="https://doi.org/10.1215/s0012-7094-99-09813-7">https://doi.org/10.1215/s0012-7094-99-09813-7</a>
  bibtex: '@article{Rösler_1999, title={Positivity of Dunkl’s intertwining operator},
    volume={98}, DOI={<a href="https://doi.org/10.1215/s0012-7094-99-09813-7">10.1215/s0012-7094-99-09813-7</a>},
    number={3}, journal={Duke Mathematical Journal}, publisher={Duke University Press},
    author={Rösler, Margit}, year={1999}, pages={445–463} }'
  chicago: 'Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” <i>Duke
    Mathematical Journal</i> 98, no. 3 (1999): 445–63. <a href="https://doi.org/10.1215/s0012-7094-99-09813-7">https://doi.org/10.1215/s0012-7094-99-09813-7</a>.'
  ieee: 'M. Rösler, “Positivity of Dunkl’s intertwining operator,” <i>Duke Mathematical
    Journal</i>, vol. 98, no. 3, pp. 445–463, 1999, doi: <a href="https://doi.org/10.1215/s0012-7094-99-09813-7">10.1215/s0012-7094-99-09813-7</a>.'
  mla: Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” <i>Duke Mathematical
    Journal</i>, vol. 98, no. 3, Duke University Press, 1999, pp. 445–63, doi:<a href="https://doi.org/10.1215/s0012-7094-99-09813-7">10.1215/s0012-7094-99-09813-7</a>.
  short: M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.
date_created: 2023-01-26T08:25:43Z
date_updated: 2023-01-26T17:40:05Z
department:
- _id: '555'
doi: 10.1215/s0012-7094-99-09813-7
extern: '1'
intvolume: '        98'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 445-463
publication: Duke Mathematical Journal
publication_identifier:
  issn:
  - 0012-7094
publication_status: published
publisher: Duke University Press
status: public
title: Positivity of Dunkl’s intertwining operator
type: journal_article
user_id: '93826'
volume: 98
year: '1999'
...
---
_id: '40192'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>If<jats:italic>G</jats:italic>is
    a closed subgroup of a commutative hypergroup<jats:italic>K</jats:italic>, then
    the coset space<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>carries
    a quotient hypergroup structure. In this paper, we study related convolution structures
    on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>coming fromdeformations
    of the quotient hypergroup structure by certain functions on<jats:italic>K</jats:italic>which
    we call partial characters with respect to<jats:italic>G</jats:italic>. They are
    usually not probability-preserving, but lead to so-called signed hypergroups on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>.
    A first example is provided by the Laguerre convolution on [0, ∞[, which is interpreted
    as a signed quotient hypergroup convolution derived from the Heisenberg group.
    Moreover, signed hypergroups associated with the Gelfand pair (<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>,
    1),<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>)) are discussed.</jats:p>
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. Partial Characters and Signed Quotient Hypergroups. <i>Canadian
    Journal of Mathematics</i>. 1999;51(1):96-116. doi:<a href="https://doi.org/10.4153/cjm-1999-006-6">10.4153/cjm-1999-006-6</a>
  apa: Rösler, M., &#38; Voit, M. (1999). Partial Characters and Signed Quotient Hypergroups.
    <i>Canadian Journal of Mathematics</i>, <i>51</i>(1), 96–116. <a href="https://doi.org/10.4153/cjm-1999-006-6">https://doi.org/10.4153/cjm-1999-006-6</a>
  bibtex: '@article{Rösler_Voit_1999, title={Partial Characters and Signed Quotient
    Hypergroups}, volume={51}, DOI={<a href="https://doi.org/10.4153/cjm-1999-006-6">10.4153/cjm-1999-006-6</a>},
    number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical
    Society}, author={Rösler, Margit and Voit, Michael}, year={1999}, pages={96–116}
    }'
  chicago: 'Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient
    Hypergroups.” <i>Canadian Journal of Mathematics</i> 51, no. 1 (1999): 96–116.
    <a href="https://doi.org/10.4153/cjm-1999-006-6">https://doi.org/10.4153/cjm-1999-006-6</a>.'
  ieee: 'M. Rösler and M. Voit, “Partial Characters and Signed Quotient Hypergroups,”
    <i>Canadian Journal of Mathematics</i>, vol. 51, no. 1, pp. 96–116, 1999, doi:
    <a href="https://doi.org/10.4153/cjm-1999-006-6">10.4153/cjm-1999-006-6</a>.'
  mla: Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.”
    <i>Canadian Journal of Mathematics</i>, vol. 51, no. 1, Canadian Mathematical
    Society, 1999, pp. 96–116, doi:<a href="https://doi.org/10.4153/cjm-1999-006-6">10.4153/cjm-1999-006-6</a>.
  short: M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.
date_created: 2023-01-26T08:27:14Z
date_updated: 2023-01-26T17:51:42Z
department:
- _id: '555'
doi: 10.4153/cjm-1999-006-6
extern: '1'
intvolume: '        51'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
page: 96-116
publication: Canadian Journal of Mathematics
publication_identifier:
  issn:
  - 0008-414X
  - 1496-4279
publication_status: published
publisher: Canadian Mathematical Society
status: public
title: Partial Characters and Signed Quotient Hypergroups
type: journal_article
user_id: '37390'
volume: 51
year: '1999'
...
---
_id: '34902'
abstract:
- lang: eng
  text: We present a new polynomial decomposition which generalizes the functional
    and homogeneous bivariate decomposition of irreducible monic polynomials in one
    variable over the rationals. With these decompositions it is possible to calculate
    the roots of an imprimitive polynomial by solving polynomial equations of lower
    degree.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>.
    1999;27(3):261-269. doi:<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>
  apa: Klüners, J. (1999). On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>,
    <i>27</i>(3), 261–269. <a href="https://doi.org/10.1006/jsco.1998.0252">https://doi.org/10.1006/jsco.1998.0252</a>
  bibtex: '@article{Klüners_1999, title={On Polynomial Decompositions}, volume={27},
    DOI={<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>},
    number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen}, year={1999}, pages={261–269} }'
  chicago: 'Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic
    Computation</i> 27, no. 3 (1999): 261–69. <a href="https://doi.org/10.1006/jsco.1998.0252">https://doi.org/10.1006/jsco.1998.0252</a>.'
  ieee: 'J. Klüners, “On Polynomial Decompositions,” <i>Journal of Symbolic Computation</i>,
    vol. 27, no. 3, pp. 261–269, 1999, doi: <a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>.'
  mla: Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic Computation</i>,
    vol. 27, no. 3, Elsevier BV, 1999, pp. 261–69, doi:<a href="https://doi.org/10.1006/jsco.1998.0252">10.1006/jsco.1998.0252</a>.
  short: J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.
date_created: 2022-12-23T10:01:15Z
date_updated: 2023-03-06T09:21:29Z
department:
- _id: '102'
doi: 10.1006/jsco.1998.0252
intvolume: '        27'
issue: '3'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 261-269
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: On Polynomial Decompositions
type: journal_article
user_id: '93826'
volume: 27
year: '1999'
...
---
_id: '35941'
abstract:
- lang: eng
  text: "Let L = ℚ(α) be an abelian number field of degree n. Most\r\nalgorithms for
    computing the lattice of subfields of L require the computation\r\nof all the
    conjugates of α. This is usually achieved by factoring the minimal\r\npolynomial
    mα(x) of α over L. In practice, the existing algorithms for factoring\r\npolynomials
    over algebraic number fields can handle only problems of moderate\r\nsize. In
    this paper we describe a fast probabilistic algorithm for computing\r\nthe conjugates
    of α, which is based on p-adic techniques. Given mα(x) and a\r\nrational prime
    p which does not divide the discriminant disc(mα(x)) of mα(x),\r\nthe algorithm
    computes the Frobenius automorphism of p in time polynomial\r\nin the size of
    p and in the size of mα(x). By repeatedly applying the algorithm\r\nto randomly
    chosen primes it is possible to compute all the conjugates of α."
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Vincenzo
  full_name: Acciaro, Vincenzo
  last_name: Acciaro
citation:
  ama: Klüners J, Acciaro V. Computing Automorphisms of Abelian Number Fields. <i>Mathematics
    of Computation</i>. 1999;68(227):1179-1186.
  apa: Klüners, J., &#38; Acciaro, V. (1999). Computing Automorphisms of Abelian Number
    Fields. <i>Mathematics of Computation</i>, <i>68</i>(227), 1179–1186.
  bibtex: '@article{Klüners_Acciaro_1999, title={Computing Automorphisms of Abelian
    Number Fields}, volume={68}, number={227}, journal={Mathematics of Computation},
    publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Acciaro,
    Vincenzo}, year={1999}, pages={1179–1186} }'
  chicago: 'Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian
    Number Fields.” <i>Mathematics of Computation</i> 68, no. 227 (1999): 1179–86.'
  ieee: J. Klüners and V. Acciaro, “Computing Automorphisms of Abelian Number Fields,”
    <i>Mathematics of Computation</i>, vol. 68, no. 227, pp. 1179–1186, 1999.
  mla: Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian
    Number Fields.” <i>Mathematics of Computation</i>, vol. 68, no. 227, American
    Mathematical Society (AMS), 1999, pp. 1179–86.
  short: J. Klüners, V. Acciaro, Mathematics of Computation 68 (1999) 1179–1186.
date_created: 2023-01-11T09:31:21Z
date_updated: 2023-03-06T10:28:52Z
department:
- _id: '102'
intvolume: '        68'
issue: '227'
language:
- iso: eng
page: 1179-1186
publication: Mathematics of Computation
publication_identifier:
  issn:
  - 1088-6842
  - 0025-5718
publication_status: published
publisher: American Mathematical Society (AMS)
related_material:
  link:
  - relation: confirmation
    url: https://www.ams.org/journals/mcom/1999-68-227/S0025-5718-99-01084-4/S0025-5718-99-01084-4.pdf
status: public
title: Computing Automorphisms of Abelian Number Fields
type: journal_article
user_id: '93826'
volume: 68
year: '1999'
...