---
_id: '34915'
abstract:
- lang: eng
  text: We describe the determinants of the automorphism groups of Hermitian lattices
    over local fields. Using a result of G. Shimura, this yields an explicit method
    to compute the special genera in a given genus of Hermitian lattices over a number
    field.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
citation:
  ama: Kirschmer M. Determinant groups of Hermitian lattices over local fields. <i>Archiv
    der Mathematik</i>. 2019;113(4):337-347. doi:<a href="https://doi.org/10.1007/s00013-019-01348-z">10.1007/s00013-019-01348-z</a>
  apa: Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields.
    <i>Archiv Der Mathematik</i>, <i>113</i>(4), 337–347. <a href="https://doi.org/10.1007/s00013-019-01348-z">https://doi.org/10.1007/s00013-019-01348-z</a>
  bibtex: '@article{Kirschmer_2019, title={Determinant groups of Hermitian lattices
    over local fields}, volume={113}, DOI={<a href="https://doi.org/10.1007/s00013-019-01348-z">10.1007/s00013-019-01348-z</a>},
    number={4}, journal={Archiv der Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kirschmer, Markus}, year={2019}, pages={337–347} }'
  chicago: 'Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local
    Fields.” <i>Archiv Der Mathematik</i> 113, no. 4 (2019): 337–47. <a href="https://doi.org/10.1007/s00013-019-01348-z">https://doi.org/10.1007/s00013-019-01348-z</a>.'
  ieee: 'M. Kirschmer, “Determinant groups of Hermitian lattices over local fields,”
    <i>Archiv der Mathematik</i>, vol. 113, no. 4, pp. 337–347, 2019, doi: <a href="https://doi.org/10.1007/s00013-019-01348-z">10.1007/s00013-019-01348-z</a>.'
  mla: Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.”
    <i>Archiv Der Mathematik</i>, vol. 113, no. 4, Springer Science and Business Media
    LLC, 2019, pp. 337–47, doi:<a href="https://doi.org/10.1007/s00013-019-01348-z">10.1007/s00013-019-01348-z</a>.
  short: M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347.
date_created: 2022-12-23T11:03:41Z
date_updated: 2023-04-04T09:05:04Z
department:
- _id: '102'
doi: 10.1007/s00013-019-01348-z
intvolume: '       113'
issue: '4'
keyword:
- General Mathematics
language:
- iso: eng
page: 337-347
publication: Archiv der Mathematik
publication_identifier:
  issn:
  - 0003-889X
  - 1420-8938
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Determinant groups of Hermitian lattices over local fields
type: journal_article
user_id: '93826'
volume: 113
year: '2019'
...
---
_id: '40216'
author:
- first_name: R.
  full_name: Lasser, R.
  last_name: Lasser
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Lasser R, Rösler M. A note on property (T) of orthogonal polynomials. <i>Archiv
    der Mathematik</i>. 1993;60(5):459-463. doi:<a href="https://doi.org/10.1007/bf01202312">10.1007/bf01202312</a>
  apa: Lasser, R., &#38; Rösler, M. (1993). A note on property (T) of orthogonal polynomials.
    <i>Archiv Der Mathematik</i>, <i>60</i>(5), 459–463. <a href="https://doi.org/10.1007/bf01202312">https://doi.org/10.1007/bf01202312</a>
  bibtex: '@article{Lasser_Rösler_1993, title={A note on property (T) of orthogonal
    polynomials}, volume={60}, DOI={<a href="https://doi.org/10.1007/bf01202312">10.1007/bf01202312</a>},
    number={5}, journal={Archiv der Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Lasser, R. and Rösler, Margit}, year={1993}, pages={459–463}
    }'
  chicago: 'Lasser, R., and Margit Rösler. “A Note on Property (T) of Orthogonal Polynomials.”
    <i>Archiv Der Mathematik</i> 60, no. 5 (1993): 459–63. <a href="https://doi.org/10.1007/bf01202312">https://doi.org/10.1007/bf01202312</a>.'
  ieee: 'R. Lasser and M. Rösler, “A note on property (T) of orthogonal polynomials,”
    <i>Archiv der Mathematik</i>, vol. 60, no. 5, pp. 459–463, 1993, doi: <a href="https://doi.org/10.1007/bf01202312">10.1007/bf01202312</a>.'
  mla: Lasser, R., and Margit Rösler. “A Note on Property (T) of Orthogonal Polynomials.”
    <i>Archiv Der Mathematik</i>, vol. 60, no. 5, Springer Science and Business Media
    LLC, 1993, pp. 459–63, doi:<a href="https://doi.org/10.1007/bf01202312">10.1007/bf01202312</a>.
  short: R. Lasser, M. Rösler, Archiv Der Mathematik 60 (1993) 459–463.
date_created: 2023-01-26T09:05:30Z
date_updated: 2023-01-26T17:33:57Z
department:
- _id: '555'
doi: 10.1007/bf01202312
extern: '1'
intvolume: '        60'
issue: '5'
keyword:
- General Mathematics
language:
- iso: eng
page: 459-463
publication: Archiv der Mathematik
publication_identifier:
  issn:
  - 0003-889X
  - 1420-8938
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A note on property (T) of orthogonal polynomials
type: journal_article
user_id: '37390'
volume: 60
year: '1993'
...