---
_id: '64695'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Fundamental problems in the theory of infinite-dimensional Lie
    groups. <i>The Journal of Geometry and Symmetry in Physics</i>. 2006;5:24–35.
  apa: Glöckner, H. (2006). Fundamental problems in the theory of infinite-dimensional
    Lie groups. <i>The Journal of Geometry and Symmetry in Physics</i>, <i>5</i>,
    24–35.
  bibtex: '@article{Glöckner_2006, title={Fundamental problems in the theory of infinite-dimensional
    Lie groups}, volume={5}, journal={The Journal of Geometry and Symmetry in Physics},
    author={Glöckner, Helge}, year={2006}, pages={24–35} }'
  chicago: 'Glöckner, Helge. “Fundamental Problems in the Theory of Infinite-Dimensional
    Lie Groups.” <i>The Journal of Geometry and Symmetry in Physics</i> 5 (2006):
    24–35.'
  ieee: H. Glöckner, “Fundamental problems in the theory of infinite-dimensional Lie
    groups,” <i>The Journal of Geometry and Symmetry in Physics</i>, vol. 5, pp. 24–35,
    2006.
  mla: Glöckner, Helge. “Fundamental Problems in the Theory of Infinite-Dimensional
    Lie Groups.” <i>The Journal of Geometry and Symmetry in Physics</i>, vol. 5, 2006,
    pp. 24–35.
  short: H. Glöckner, The Journal of Geometry and Symmetry in Physics 5 (2006) 24–35.
date_created: 2026-02-26T11:52:03Z
date_updated: 2026-02-27T08:00:06Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
intvolume: '         5'
keyword:
- '22E65'
language:
- iso: eng
page: 24–35
publication: The Journal of Geometry and Symmetry in Physics
publication_identifier:
  issn:
  - 1312-5192
quality_controlled: '1'
status: public
title: Fundamental problems in the theory of infinite-dimensional Lie groups
type: journal_article
user_id: '178'
volume: 5
year: '2006'
...
---
_id: '64700'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Hölder continuous homomorphisms between infinite-dimensional Lie
    groups are smooth. <i>Journal of Functional Analysis</i>. 2005;228(2):419–444.
    doi:<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>
  apa: Glöckner, H. (2005). Hölder continuous homomorphisms between infinite-dimensional
    Lie groups are smooth. <i>Journal of Functional Analysis</i>, <i>228</i>(2), 419–444.
    <a href="https://doi.org/10.1016/j.jfa.2005.06.023">https://doi.org/10.1016/j.jfa.2005.06.023</a>
  bibtex: '@article{Glöckner_2005, title={Hölder continuous homomorphisms between
    infinite-dimensional Lie groups are smooth}, volume={228}, DOI={<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>},
    number={2}, journal={Journal of Functional Analysis}, author={Glöckner, Helge},
    year={2005}, pages={419–444} }'
  chicago: 'Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional
    Lie Groups Are Smooth.” <i>Journal of Functional Analysis</i> 228, no. 2 (2005):
    419–444. <a href="https://doi.org/10.1016/j.jfa.2005.06.023">https://doi.org/10.1016/j.jfa.2005.06.023</a>.'
  ieee: 'H. Glöckner, “Hölder continuous homomorphisms between infinite-dimensional
    Lie groups are smooth,” <i>Journal of Functional Analysis</i>, vol. 228, no. 2,
    pp. 419–444, 2005, doi: <a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>.'
  mla: Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional
    Lie Groups Are Smooth.” <i>Journal of Functional Analysis</i>, vol. 228, no. 2,
    2005, pp. 419–444, doi:<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>.
  short: H. Glöckner, Journal of Functional Analysis 228 (2005) 419–444.
date_created: 2026-02-26T12:01:38Z
date_updated: 2026-02-27T07:56:38Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.jfa.2005.06.023
extern: '1'
intvolume: '       228'
issue: '2'
keyword:
- '22E65'
- '22E35'
- '26E15'
- '26E20'
- '26E30'
- 46S10
- 46T20
- 58C20
language:
- iso: eng
page: 419–444
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
quality_controlled: '1'
status: public
title: Hölder continuous homomorphisms between infinite-dimensional Lie groups are
  smooth
type: journal_article
user_id: '178'
volume: 228
year: '2005'
...
---
_id: '64702'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Conveniently Hölder homomorphisms are smooth in the convenient
    sense. <i>Annals of Global Analysis and Geometry</i>. 2005;27(3):227–255. doi:<a
    href="https://doi.org/10.1007/s10455-005-0040-z">10.1007/s10455-005-0040-z</a>
  apa: Glöckner, H. (2005). Conveniently Hölder homomorphisms are smooth in the convenient
    sense. <i>Annals of Global Analysis and Geometry</i>, <i>27</i>(3), 227–255. <a
    href="https://doi.org/10.1007/s10455-005-0040-z">https://doi.org/10.1007/s10455-005-0040-z</a>
  bibtex: '@article{Glöckner_2005, title={Conveniently Hölder homomorphisms are smooth
    in the convenient sense}, volume={27}, DOI={<a href="https://doi.org/10.1007/s10455-005-0040-z">10.1007/s10455-005-0040-z</a>},
    number={3}, journal={Annals of Global Analysis and Geometry}, author={Glöckner,
    Helge}, year={2005}, pages={227–255} }'
  chicago: 'Glöckner, Helge. “Conveniently Hölder Homomorphisms Are Smooth in the
    Convenient Sense.” <i>Annals of Global Analysis and Geometry</i> 27, no. 3 (2005):
    227–255. <a href="https://doi.org/10.1007/s10455-005-0040-z">https://doi.org/10.1007/s10455-005-0040-z</a>.'
  ieee: 'H. Glöckner, “Conveniently Hölder homomorphisms are smooth in the convenient
    sense,” <i>Annals of Global Analysis and Geometry</i>, vol. 27, no. 3, pp. 227–255,
    2005, doi: <a href="https://doi.org/10.1007/s10455-005-0040-z">10.1007/s10455-005-0040-z</a>.'
  mla: Glöckner, Helge. “Conveniently Hölder Homomorphisms Are Smooth in the Convenient
    Sense.” <i>Annals of Global Analysis and Geometry</i>, vol. 27, no. 3, 2005, pp.
    227–255, doi:<a href="https://doi.org/10.1007/s10455-005-0040-z">10.1007/s10455-005-0040-z</a>.
  short: H. Glöckner, Annals of Global Analysis and Geometry 27 (2005) 227–255.
date_created: 2026-02-26T12:04:07Z
date_updated: 2026-02-27T07:55:39Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10455-005-0040-z
extern: '1'
intvolume: '        27'
issue: '3'
keyword:
- '22E65'
- '26E15'
- '26E20'
- 46T20
- 58C20
language:
- iso: eng
page: 227–255
publication: Annals of Global Analysis and Geometry
publication_identifier:
  issn:
  - 0232-704X
quality_controlled: '1'
status: public
title: Conveniently Hölder homomorphisms are smooth in the convenient sense
type: journal_article
user_id: '178'
volume: 27
year: '2005'
...
---
_id: '64703'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Diff(R^n) as a Milnor-Lie group. <i>Mathematische Nachrichten</i>.
    2005;278(9):1025–1032. doi:<a href="https://doi.org/10.1002/mana.200310288">10.1002/mana.200310288</a>
  apa: Glöckner, H. (2005). Diff(R^n) as a Milnor-Lie group. <i>Mathematische Nachrichten</i>,
    <i>278</i>(9), 1025–1032. <a href="https://doi.org/10.1002/mana.200310288">https://doi.org/10.1002/mana.200310288</a>
  bibtex: '@article{Glöckner_2005, title={Diff(R^n) as a Milnor-Lie group}, volume={278},
    DOI={<a href="https://doi.org/10.1002/mana.200310288">10.1002/mana.200310288</a>},
    number={9}, journal={Mathematische Nachrichten}, author={Glöckner, Helge}, year={2005},
    pages={1025–1032} }'
  chicago: 'Glöckner, Helge. “Diff(R^n) as a Milnor-Lie Group.” <i>Mathematische Nachrichten</i>
    278, no. 9 (2005): 1025–1032. <a href="https://doi.org/10.1002/mana.200310288">https://doi.org/10.1002/mana.200310288</a>.'
  ieee: 'H. Glöckner, “Diff(R^n) as a Milnor-Lie group,” <i>Mathematische Nachrichten</i>,
    vol. 278, no. 9, pp. 1025–1032, 2005, doi: <a href="https://doi.org/10.1002/mana.200310288">10.1002/mana.200310288</a>.'
  mla: Glöckner, Helge. “Diff(R^n) as a Milnor-Lie Group.” <i>Mathematische Nachrichten</i>,
    vol. 278, no. 9, 2005, pp. 1025–1032, doi:<a href="https://doi.org/10.1002/mana.200310288">10.1002/mana.200310288</a>.
  short: H. Glöckner, Mathematische Nachrichten 278 (2005) 1025–1032.
date_created: 2026-02-26T12:05:15Z
date_updated: 2026-02-27T07:55:01Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1002/mana.200310288
extern: '1'
intvolume: '       278'
issue: '9'
keyword:
- 58D05
- '22E65'
- 46F05
- 46T20
language:
- iso: eng
page: 1025–1032
publication: Mathematische Nachrichten
publication_identifier:
  issn:
  - 0025-584X
quality_controlled: '1'
status: public
title: Diff(R^n) as a Milnor-Lie group
type: journal_article
user_id: '178'
volume: 278
year: '2005'
...
---
_id: '64699'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Fundamentals of direct limit Lie theory. <i>Compositio Mathematica</i>.
    2005;141(6):1551–1577. doi:<a href="https://doi.org/10.1112/S0010437X05001491">10.1112/S0010437X05001491</a>
  apa: Glöckner, H. (2005). Fundamentals of direct limit Lie theory. <i>Compositio
    Mathematica</i>, <i>141</i>(6), 1551–1577. <a href="https://doi.org/10.1112/S0010437X05001491">https://doi.org/10.1112/S0010437X05001491</a>
  bibtex: '@article{Glöckner_2005, title={Fundamentals of direct limit Lie theory},
    volume={141}, DOI={<a href="https://doi.org/10.1112/S0010437X05001491">10.1112/S0010437X05001491</a>},
    number={6}, journal={Compositio Mathematica}, author={Glöckner, Helge}, year={2005},
    pages={1551–1577} }'
  chicago: 'Glöckner, Helge. “Fundamentals of Direct Limit Lie Theory.” <i>Compositio
    Mathematica</i> 141, no. 6 (2005): 1551–1577. <a href="https://doi.org/10.1112/S0010437X05001491">https://doi.org/10.1112/S0010437X05001491</a>.'
  ieee: 'H. Glöckner, “Fundamentals of direct limit Lie theory,” <i>Compositio Mathematica</i>,
    vol. 141, no. 6, pp. 1551–1577, 2005, doi: <a href="https://doi.org/10.1112/S0010437X05001491">10.1112/S0010437X05001491</a>.'
  mla: Glöckner, Helge. “Fundamentals of Direct Limit Lie Theory.” <i>Compositio Mathematica</i>,
    vol. 141, no. 6, 2005, pp. 1551–1577, doi:<a href="https://doi.org/10.1112/S0010437X05001491">10.1112/S0010437X05001491</a>.
  short: H. Glöckner, Compositio Mathematica 141 (2005) 1551–1577.
date_created: 2026-02-26T12:00:23Z
date_updated: 2026-02-27T07:57:23Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1112/S0010437X05001491
extern: '1'
intvolume: '       141'
issue: '6'
keyword:
- '22E65'
- '26E15'
- '26E20'
- '26E30'
- 46T05
language:
- iso: eng
page: 1551–1577
publication: Compositio Mathematica
publication_identifier:
  issn:
  - 0010-437X
quality_controlled: '1'
status: public
title: Fundamentals of direct limit Lie theory
type: journal_article
user_id: '178'
volume: 141
year: '2005'
...
---
_id: '64708'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Lie groups of germs of analytic mappings. In: <i>Infinite Dimensional
    Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists and
    Mathematicians at IRMA, Strasbourg, France, May 2004.</i> Berlin: de Gruyter;
    2004:1–16.'
  apa: 'Glöckner, H. (2004). Lie groups of germs of analytic mappings. In <i>Infinite
    dimensional groups and manifolds. Based on the 70th meeting of theoretical physicists
    and mathematicians at IRMA, Strasbourg, France, May 2004.</i> (pp. 1–16). Berlin:
    de Gruyter.'
  bibtex: '@inbook{Glöckner_2004, title={Lie groups of germs of analytic mappings},
    booktitle={Infinite dimensional groups and manifolds. Based on the 70th meeting
    of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May
    2004.}, publisher={Berlin: de Gruyter}, author={Glöckner, Helge}, year={2004},
    pages={1–16} }'
  chicago: 'Glöckner, Helge. “Lie Groups of Germs of Analytic Mappings.” In <i>Infinite
    Dimensional Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists
    and Mathematicians at IRMA, Strasbourg, France, May 2004.</i>, 1–16. Berlin: de
    Gruyter, 2004.'
  ieee: 'H. Glöckner, “Lie groups of germs of analytic mappings,” in <i>Infinite dimensional
    groups and manifolds. Based on the 70th meeting of theoretical physicists and
    mathematicians at IRMA, Strasbourg, France, May 2004.</i>, Berlin: de Gruyter,
    2004, pp. 1–16.'
  mla: 'Glöckner, Helge. “Lie Groups of Germs of Analytic Mappings.” <i>Infinite Dimensional
    Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists and
    Mathematicians at IRMA, Strasbourg, France, May 2004.</i>, Berlin: de Gruyter,
    2004, pp. 1–16.'
  short: 'H. Glöckner, in: Infinite Dimensional Groups and Manifolds. Based on the
    70th Meeting of Theoretical Physicists and Mathematicians at IRMA, Strasbourg,
    France, May 2004., Berlin: de Gruyter, 2004, pp. 1–16.'
date_created: 2026-02-26T12:11:48Z
date_updated: 2026-02-26T12:12:26Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
keyword:
- '22E65'
- '22E67'
- 46H05
- 46T25
language:
- iso: eng
page: 1–16
publication: Infinite dimensional groups and manifolds. Based on the 70th meeting
  of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May 2004.
publication_identifier:
  isbn:
  - 3-11-018186-X
publisher: 'Berlin: de Gruyter'
quality_controlled: '1'
status: public
title: Lie groups of germs of analytic mappings
type: book_chapter
user_id: '178'
year: '2004'
...
---
_id: '64707'
article_type: original
author:
- first_name: W.
  full_name: Bertram, W.
  last_name: Bertram
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: K.-H.
  full_name: Neeb, K.-H.
  last_name: Neeb
citation:
  ama: Bertram W, Glöckner H, Neeb K-H. Differential calculus over general base fields
    and rings. <i>Expositiones Mathematicae</i>. 2004;22(3):213–282. doi:<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>
  apa: Bertram, W., Glöckner, H., &#38; Neeb, K.-H. (2004). Differential calculus
    over general base fields and rings. <i>Expositiones Mathematicae</i>, <i>22</i>(3),
    213–282. <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">https://doi.org/10.1016/S0723-0869(04)80006-9</a>
  bibtex: '@article{Bertram_Glöckner_Neeb_2004, title={Differential calculus over
    general base fields and rings.}, volume={22}, DOI={<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>},
    number={3}, journal={Expositiones Mathematicae}, author={Bertram, W. and Glöckner,
    Helge and Neeb, K.-H.}, year={2004}, pages={213–282} }'
  chicago: 'Bertram, W., Helge Glöckner, and K.-H. Neeb. “Differential Calculus over
    General Base Fields and Rings.” <i>Expositiones Mathematicae</i> 22, no. 3 (2004):
    213–282. <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">https://doi.org/10.1016/S0723-0869(04)80006-9</a>.'
  ieee: 'W. Bertram, H. Glöckner, and K.-H. Neeb, “Differential calculus over general
    base fields and rings.,” <i>Expositiones Mathematicae</i>, vol. 22, no. 3, pp.
    213–282, 2004, doi: <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>.'
  mla: Bertram, W., et al. “Differential Calculus over General Base Fields and Rings.”
    <i>Expositiones Mathematicae</i>, vol. 22, no. 3, 2004, pp. 213–282, doi:<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>.
  short: W. Bertram, H. Glöckner, K.-H. Neeb, Expositiones Mathematicae 22 (2004)
    213–282.
date_created: 2026-02-26T12:10:36Z
date_updated: 2026-02-27T07:51:59Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/S0723-0869(04)80006-9
extern: '1'
intvolume: '        22'
issue: '3'
keyword:
- 58C20
- '22E65'
- '26E15'
- '26E20'
- '26E30'
language:
- iso: eng
page: 213–282
publication: Expositiones Mathematicae
publication_identifier:
  issn:
  - 0723-0869
quality_controlled: '1'
status: public
title: Differential calculus over general base fields and rings.
type: journal_article
user_id: '178'
volume: 22
year: '2004'
...
---
_id: '64712'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Karl-Hermann
  full_name: Neeb, Karl-Hermann
  last_name: Neeb
citation:
  ama: Glöckner H, Neeb K-H. Banach-Lie quotients, enlargibility, and universal complexifications.
    <i>Journal für die reine und angewandte Mathematik</i>. 2003;560:1–28. doi:<a
    href="https://doi.org/10.1515/crll.2003.056">10.1515/crll.2003.056</a>
  apa: Glöckner, H., &#38; Neeb, K.-H. (2003). Banach-Lie quotients, enlargibility,
    and universal complexifications. <i>Journal Für Die Reine Und Angewandte Mathematik</i>,
    <i>560</i>, 1–28. <a href="https://doi.org/10.1515/crll.2003.056">https://doi.org/10.1515/crll.2003.056</a>
  bibtex: '@article{Glöckner_Neeb_2003, title={Banach-Lie quotients, enlargibility,
    and universal complexifications}, volume={560}, DOI={<a href="https://doi.org/10.1515/crll.2003.056">10.1515/crll.2003.056</a>},
    journal={Journal für die reine und angewandte Mathematik}, author={Glöckner, Helge
    and Neeb, Karl-Hermann}, year={2003}, pages={1–28} }'
  chicago: 'Glöckner, Helge, and Karl-Hermann Neeb. “Banach-Lie Quotients, Enlargibility,
    and Universal Complexifications.” <i>Journal Für Die Reine Und Angewandte Mathematik</i>
    560 (2003): 1–28. <a href="https://doi.org/10.1515/crll.2003.056">https://doi.org/10.1515/crll.2003.056</a>.'
  ieee: 'H. Glöckner and K.-H. Neeb, “Banach-Lie quotients, enlargibility, and universal
    complexifications,” <i>Journal für die reine und angewandte Mathematik</i>, vol.
    560, pp. 1–28, 2003, doi: <a href="https://doi.org/10.1515/crll.2003.056">10.1515/crll.2003.056</a>.'
  mla: Glöckner, Helge, and Karl-Hermann Neeb. “Banach-Lie Quotients, Enlargibility,
    and Universal Complexifications.” <i>Journal Für Die Reine Und Angewandte Mathematik</i>,
    vol. 560, 2003, pp. 1–28, doi:<a href="https://doi.org/10.1515/crll.2003.056">10.1515/crll.2003.056</a>.
  short: H. Glöckner, K.-H. Neeb, Journal Für Die Reine Und Angewandte Mathematik
    560 (2003) 1–28.
date_created: 2026-02-26T12:16:39Z
date_updated: 2026-02-27T07:46:29Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/crll.2003.056
extern: '1'
intvolume: '       560'
keyword:
- '22E65'
- '22E15'
- '22E10'
language:
- iso: eng
page: 1–28
publication: Journal für die reine und angewandte Mathematik
publication_identifier:
  issn:
  - 0075-4102
quality_controlled: '1'
status: public
title: Banach-Lie quotients, enlargibility, and universal complexifications
type: journal_article
user_id: '178'
volume: 560
year: '2003'
...
---
_id: '64709'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Direct limit Lie groups and manifolds. <i>Journal of Mathematics
    of Kyoto University</i>. 2003;43(1):1–26. doi:<a href="https://doi.org/10.1215/kjm/1250283739">10.1215/kjm/1250283739</a>
  apa: Glöckner, H. (2003). Direct limit Lie groups and manifolds. <i>Journal of Mathematics
    of Kyoto University</i>, <i>43</i>(1), 1–26. <a href="https://doi.org/10.1215/kjm/1250283739">https://doi.org/10.1215/kjm/1250283739</a>
  bibtex: '@article{Glöckner_2003, title={Direct limit Lie groups and manifolds},
    volume={43}, DOI={<a href="https://doi.org/10.1215/kjm/1250283739">10.1215/kjm/1250283739</a>},
    number={1}, journal={Journal of Mathematics of Kyoto University}, author={Glöckner,
    Helge}, year={2003}, pages={1–26} }'
  chicago: 'Glöckner, Helge. “Direct Limit Lie Groups and Manifolds.” <i>Journal of
    Mathematics of Kyoto University</i> 43, no. 1 (2003): 1–26. <a href="https://doi.org/10.1215/kjm/1250283739">https://doi.org/10.1215/kjm/1250283739</a>.'
  ieee: 'H. Glöckner, “Direct limit Lie groups and manifolds,” <i>Journal of Mathematics
    of Kyoto University</i>, vol. 43, no. 1, pp. 1–26, 2003, doi: <a href="https://doi.org/10.1215/kjm/1250283739">10.1215/kjm/1250283739</a>.'
  mla: Glöckner, Helge. “Direct Limit Lie Groups and Manifolds.” <i>Journal of Mathematics
    of Kyoto University</i>, vol. 43, no. 1, 2003, pp. 1–26, doi:<a href="https://doi.org/10.1215/kjm/1250283739">10.1215/kjm/1250283739</a>.
  short: H. Glöckner, Journal of Mathematics of Kyoto University 43 (2003) 1–26.
date_created: 2026-02-26T12:12:57Z
date_updated: 2026-02-27T07:51:21Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1215/kjm/1250283739
extern: '1'
intvolume: '        43'
issue: '1'
keyword:
- '22E65'
- 58B25
language:
- iso: eng
page: 1–26
publication: Journal of Mathematics of Kyoto University
publication_identifier:
  issn:
  - 0023-608X
quality_controlled: '1'
status: public
title: Direct limit Lie groups and manifolds
type: journal_article
user_id: '178'
volume: 43
year: '2003'
...
---
_id: '64716'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Infinite-dimensional Lie groups without completeness restrictions.
    In: <i>Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings
    of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>. Warszawa: Polish Academy of Sciences, Institute of Mathematics; 2002:43–59.'
  apa: 'Glöckner, H. (2002). Infinite-dimensional Lie groups without completeness
    restrictions. In <i>Geometry and analysis on finite- and infinite-dimensional
    Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo,
    Poland, September 4–15, 2000</i> (pp. 43–59). Warszawa: Polish Academy of Sciences,
    Institute of Mathematics.'
  bibtex: '@inbook{Glöckner_2002, title={Infinite-dimensional Lie groups without completeness
    restrictions}, booktitle={Geometry and analysis on finite- and infinite-dimensional
    Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo,
    Poland, September 4–15, 2000}, publisher={Warszawa: Polish Academy of Sciences,
    Institute of Mathematics}, author={Glöckner, Helge}, year={2002}, pages={43–59}
    }'
  chicago: 'Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness
    Restrictions.” In <i>Geometry and Analysis on Finite- and Infinite-Dimensional
    Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo,
    Poland, September 4–15, 2000</i>, 43–59. Warszawa: Polish Academy of Sciences,
    Institute of Mathematics, 2002.'
  ieee: 'H. Glöckner, “Infinite-dimensional Lie groups without completeness restrictions,”
    in <i>Geometry and analysis on finite- and infinite-dimensional Lie groups. Proceedings
    of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>, Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002,
    pp. 43–59.'
  mla: 'Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness Restrictions.”
    <i>Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings
    of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>, Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002,
    pp. 43–59.'
  short: 'H. Glöckner, in: Geometry and Analysis on Finite- and Infinite-Dimensional
    Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo,
    Poland, September 4–15, 2000, Warszawa: Polish Academy of Sciences, Institute
    of Mathematics, 2002, pp. 43–59.'
date_created: 2026-02-26T12:23:24Z
date_updated: 2026-02-26T12:24:02Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
keyword:
- 58C20
- '22E65'
- 46T20
- 46T25
language:
- iso: eng
page: 43–59
publication: Geometry and analysis on finite- and infinite-dimensional Lie groups.
  Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September
  4–15, 2000
publisher: 'Warszawa: Polish Academy of Sciences, Institute of Mathematics'
quality_controlled: '1'
status: public
title: Infinite-dimensional Lie groups without completeness restrictions
type: book_chapter
user_id: '178'
year: '2002'
...
---
_id: '64717'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Real and p-adic Lie algebra functors on the category of topological
    groups. <i>Pacific Journal of Mathematics</i>. 2002;203(2):321–368. doi:<a href="https://doi.org/10.2140/pjm.2002.203.321">10.2140/pjm.2002.203.321</a>
  apa: Glöckner, H. (2002). Real and p-adic Lie algebra functors on the category of
    topological groups. <i>Pacific Journal of Mathematics</i>, <i>203</i>(2), 321–368.
    <a href="https://doi.org/10.2140/pjm.2002.203.321">https://doi.org/10.2140/pjm.2002.203.321</a>
  bibtex: '@article{Glöckner_2002, title={Real and p-adic Lie algebra functors on
    the category of topological groups.}, volume={203}, DOI={<a href="https://doi.org/10.2140/pjm.2002.203.321">10.2140/pjm.2002.203.321</a>},
    number={2}, journal={Pacific Journal of Mathematics}, author={Glöckner, Helge},
    year={2002}, pages={321–368} }'
  chicago: 'Glöckner, Helge. “Real and P-Adic Lie Algebra Functors on the Category
    of Topological Groups.” <i>Pacific Journal of Mathematics</i> 203, no. 2 (2002):
    321–368. <a href="https://doi.org/10.2140/pjm.2002.203.321">https://doi.org/10.2140/pjm.2002.203.321</a>.'
  ieee: 'H. Glöckner, “Real and p-adic Lie algebra functors on the category of topological
    groups.,” <i>Pacific Journal of Mathematics</i>, vol. 203, no. 2, pp. 321–368,
    2002, doi: <a href="https://doi.org/10.2140/pjm.2002.203.321">10.2140/pjm.2002.203.321</a>.'
  mla: Glöckner, Helge. “Real and P-Adic Lie Algebra Functors on the Category of Topological
    Groups.” <i>Pacific Journal of Mathematics</i>, vol. 203, no. 2, 2002, pp. 321–368,
    doi:<a href="https://doi.org/10.2140/pjm.2002.203.321">10.2140/pjm.2002.203.321</a>.
  short: H. Glöckner, Pacific Journal of Mathematics 203 (2002) 321–368.
date_created: 2026-02-26T12:24:27Z
date_updated: 2026-02-27T07:44:07Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.2140/pjm.2002.203.321
extern: '1'
intvolume: '       203'
issue: '2'
keyword:
- 22A05
- 20F40
- 14L10
- '20E10'
- 17B65
- '22E60'
- '20E18'
- '22E65'
- 54H11
language:
- iso: eng
page: 321–368
publication: Pacific Journal of Mathematics
publication_identifier:
  issn:
  - 1945-5844
quality_controlled: '1'
status: public
title: Real and p-adic Lie algebra functors on the category of topological groups.
type: journal_article
user_id: '178'
volume: 203
year: '2002'
...
---
_id: '64714'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Lie group structures on quotient groups and universal complexifications
    for infinite-dimensional Lie groups. <i>Journal of Functional Analysis</i>. 2002;194(2):347–409.
    doi:<a href="https://doi.org/10.1006/jfan.2002.3942">10.1006/jfan.2002.3942</a>
  apa: Glöckner, H. (2002). Lie group structures on quotient groups and universal
    complexifications for infinite-dimensional Lie groups. <i>Journal of Functional
    Analysis</i>, <i>194</i>(2), 347–409. <a href="https://doi.org/10.1006/jfan.2002.3942">https://doi.org/10.1006/jfan.2002.3942</a>
  bibtex: '@article{Glöckner_2002, title={Lie group structures on quotient groups
    and universal complexifications for infinite-dimensional Lie groups}, volume={194},
    DOI={<a href="https://doi.org/10.1006/jfan.2002.3942">10.1006/jfan.2002.3942</a>},
    number={2}, journal={Journal of Functional Analysis}, author={Glöckner, Helge},
    year={2002}, pages={347–409} }'
  chicago: 'Glöckner, Helge. “Lie Group Structures on Quotient Groups and Universal
    Complexifications for Infinite-Dimensional Lie Groups.” <i>Journal of Functional
    Analysis</i> 194, no. 2 (2002): 347–409. <a href="https://doi.org/10.1006/jfan.2002.3942">https://doi.org/10.1006/jfan.2002.3942</a>.'
  ieee: 'H. Glöckner, “Lie group structures on quotient groups and universal complexifications
    for infinite-dimensional Lie groups,” <i>Journal of Functional Analysis</i>, vol.
    194, no. 2, pp. 347–409, 2002, doi: <a href="https://doi.org/10.1006/jfan.2002.3942">10.1006/jfan.2002.3942</a>.'
  mla: Glöckner, Helge. “Lie Group Structures on Quotient Groups and Universal Complexifications
    for Infinite-Dimensional Lie Groups.” <i>Journal of Functional Analysis</i>, vol.
    194, no. 2, 2002, pp. 347–409, doi:<a href="https://doi.org/10.1006/jfan.2002.3942">10.1006/jfan.2002.3942</a>.
  short: H. Glöckner, Journal of Functional Analysis 194 (2002) 347–409.
date_created: 2026-02-26T12:20:17Z
date_updated: 2026-02-27T07:44:50Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1006/jfan.2002.3942
extern: '1'
intvolume: '       194'
issue: '2'
keyword:
- '22E65'
language:
- iso: eng
page: 347–409
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
quality_controlled: '1'
status: public
title: Lie group structures on quotient groups and universal complexifications for
  infinite-dimensional Lie groups
type: journal_article
user_id: '178'
volume: 194
year: '2002'
...
---
_id: '64721'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Algebras whose groups of units are Lie groups. <i>Studia Mathematica</i>.
    2002;153(2):147–177. doi:<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>
  apa: Glöckner, H. (2002). Algebras whose groups of units are Lie groups. <i>Studia
    Mathematica</i>, <i>153</i>(2), 147–177. <a href="https://doi.org/10.4064/sm153-2-4">https://doi.org/10.4064/sm153-2-4</a>
  bibtex: '@article{Glöckner_2002, title={Algebras whose groups of units are Lie groups},
    volume={153}, DOI={<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>},
    number={2}, journal={Studia Mathematica}, author={Glöckner, Helge}, year={2002},
    pages={147–177} }'
  chicago: 'Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” <i>Studia
    Mathematica</i> 153, no. 2 (2002): 147–177. <a href="https://doi.org/10.4064/sm153-2-4">https://doi.org/10.4064/sm153-2-4</a>.'
  ieee: 'H. Glöckner, “Algebras whose groups of units are Lie groups,” <i>Studia Mathematica</i>,
    vol. 153, no. 2, pp. 147–177, 2002, doi: <a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>.'
  mla: Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” <i>Studia
    Mathematica</i>, vol. 153, no. 2, 2002, pp. 147–177, doi:<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>.
  short: H. Glöckner, Studia Mathematica 153 (2002) 147–177.
date_created: 2026-02-26T13:00:20Z
date_updated: 2026-02-27T07:42:21Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4064/sm153-2-4
extern: '1'
intvolume: '       153'
issue: '2'
keyword:
- '22E65'
- '46E25'
- 46F05
- 46H05
- 46H30
language:
- iso: eng
page: 147–177
publication: Studia Mathematica
publication_identifier:
  issn:
  - 0039-3223
quality_controlled: '1'
status: public
title: Algebras whose groups of units are Lie groups
type: journal_article
user_id: '178'
volume: 153
year: '2002'
...