---
_id: '64675'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Direct limits of infinite-dimensional Lie groups. In: <i>Developments
    and Trends in Infinite-Dimensional Lie Theory</i>. Basel: Birkhäuser; 2011:243–280.
    doi:<a href="https://doi.org/10.1007/978-0-8176-4741-4_8">10.1007/978-0-8176-4741-4_8</a>'
  apa: 'Glöckner, H. (2011). Direct limits of infinite-dimensional Lie groups. In
    <i>Developments and trends in infinite-dimensional Lie theory</i> (pp. 243–280).
    Basel: Birkhäuser. <a href="https://doi.org/10.1007/978-0-8176-4741-4_8">https://doi.org/10.1007/978-0-8176-4741-4_8</a>'
  bibtex: '@inbook{Glöckner_2011, title={Direct limits of infinite-dimensional Lie
    groups}, DOI={<a href="https://doi.org/10.1007/978-0-8176-4741-4_8">10.1007/978-0-8176-4741-4_8</a>},
    booktitle={Developments and trends in infinite-dimensional Lie theory}, publisher={Basel:
    Birkhäuser}, author={Glöckner, Helge}, year={2011}, pages={243–280} }'
  chicago: 'Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups.” In
    <i>Developments and Trends in Infinite-Dimensional Lie Theory</i>, 243–280. Basel:
    Birkhäuser, 2011. <a href="https://doi.org/10.1007/978-0-8176-4741-4_8">https://doi.org/10.1007/978-0-8176-4741-4_8</a>.'
  ieee: 'H. Glöckner, “Direct limits of infinite-dimensional Lie groups,” in <i>Developments
    and trends in infinite-dimensional Lie theory</i>, Basel: Birkhäuser, 2011, pp.
    243–280.'
  mla: 'Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups.” <i>Developments
    and Trends in Infinite-Dimensional Lie Theory</i>, Basel: Birkhäuser, 2011, pp.
    243–280, doi:<a href="https://doi.org/10.1007/978-0-8176-4741-4_8">10.1007/978-0-8176-4741-4_8</a>.'
  short: 'H. Glöckner, in: Developments and Trends in Infinite-Dimensional Lie Theory,
    Basel: Birkhäuser, 2011, pp. 243–280.'
date_created: 2026-02-26T11:08:44Z
date_updated: 2026-02-26T11:10:17Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/978-0-8176-4741-4_8
keyword:
- '22E65'
- '22E15'
- 46A13
- 46T05
- 54D50
language:
- iso: eng
page: 243–280
publication: Developments and trends in infinite-dimensional Lie theory
publication_identifier:
  isbn:
  - 978-0-8176-4740-7; 978-0-8176-4741-4
publisher: 'Basel: Birkhäuser'
quality_controlled: '1'
status: public
title: Direct limits of infinite-dimensional Lie groups
type: book_chapter
user_id: '178'
year: '2011'
...
---
_id: '64686'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: George A.
  full_name: Willis, George A.
  last_name: Willis
citation:
  ama: Glöckner H, Willis GA. Directions of automorphisms of Lie groups over local
    fields compared to the directions of Lie algebra automorphisms. <i>Topology Proceedings</i>.
    2007;31(2):481–501.
  apa: Glöckner, H., &#38; Willis, G. A. (2007). Directions of automorphisms of Lie
    groups over local fields compared to the directions of Lie algebra automorphisms.
    <i>Topology Proceedings</i>, <i>31</i>(2), 481–501.
  bibtex: '@article{Glöckner_Willis_2007, title={Directions of automorphisms of Lie
    groups over local fields compared to the directions of Lie algebra automorphisms},
    volume={31}, number={2}, journal={Topology Proceedings}, author={Glöckner, Helge
    and Willis, George A.}, year={2007}, pages={481–501} }'
  chicago: 'Glöckner, Helge, and George A. Willis. “Directions of Automorphisms of
    Lie Groups over Local Fields Compared to the Directions of Lie Algebra Automorphisms.”
    <i>Topology Proceedings</i> 31, no. 2 (2007): 481–501.'
  ieee: H. Glöckner and G. A. Willis, “Directions of automorphisms of Lie groups over
    local fields compared to the directions of Lie algebra automorphisms,” <i>Topology
    Proceedings</i>, vol. 31, no. 2, pp. 481–501, 2007.
  mla: Glöckner, Helge, and George A. Willis. “Directions of Automorphisms of Lie
    Groups over Local Fields Compared to the Directions of Lie Algebra Automorphisms.”
    <i>Topology Proceedings</i>, vol. 31, no. 2, 2007, pp. 481–501.
  short: H. Glöckner, G.A. Willis, Topology Proceedings 31 (2007) 481–501.
date_created: 2026-02-26T11:26:02Z
date_updated: 2026-02-27T08:19:31Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
intvolume: '        31'
issue: '2'
keyword:
- 22D45
- 22D05
- 20G25
- '22E15'
- '22E35'
language:
- iso: eng
page: 481–501
publication: Topology Proceedings
publication_identifier:
  issn:
  - 0146-4124
quality_controlled: '1'
status: public
title: Directions of automorphisms of Lie groups over local fields compared to the
  directions of Lie algebra automorphisms
type: journal_article
user_id: '178'
volume: 31
year: '2007'
...
---
_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'
...