---
_id: '64633'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Lectures on Lie groups over local fields. In: <i>New Directions
    in Locally Compact Groups</i>. Cambridge: Cambridge University Press; 2018:37–72.
    doi:<a href="https://doi.org/10.1017/9781108332675.005">10.1017/9781108332675.005</a>'
  apa: 'Glöckner, H. (2018). Lectures on Lie groups over local fields. In <i>New directions
    in locally compact groups</i> (pp. 37–72). Cambridge: Cambridge University Press.
    <a href="https://doi.org/10.1017/9781108332675.005">https://doi.org/10.1017/9781108332675.005</a>'
  bibtex: '@inbook{Glöckner_2018, title={Lectures on Lie groups over local fields},
    DOI={<a href="https://doi.org/10.1017/9781108332675.005">10.1017/9781108332675.005</a>},
    booktitle={New directions in locally compact groups}, publisher={Cambridge: Cambridge
    University Press}, author={Glöckner, Helge}, year={2018}, pages={37–72} }'
  chicago: 'Glöckner, Helge. “Lectures on Lie Groups over Local Fields.” In <i>New
    Directions in Locally Compact Groups</i>, 37–72. Cambridge: Cambridge University
    Press, 2018. <a href="https://doi.org/10.1017/9781108332675.005">https://doi.org/10.1017/9781108332675.005</a>.'
  ieee: 'H. Glöckner, “Lectures on Lie groups over local fields,” in <i>New directions
    in locally compact groups</i>, Cambridge: Cambridge University Press, 2018, pp.
    37–72.'
  mla: 'Glöckner, Helge. “Lectures on Lie Groups over Local Fields.” <i>New Directions
    in Locally Compact Groups</i>, Cambridge: Cambridge University Press, 2018, pp.
    37–72, doi:<a href="https://doi.org/10.1017/9781108332675.005">10.1017/9781108332675.005</a>.'
  short: 'H. Glöckner, in: New Directions in Locally Compact Groups, Cambridge: Cambridge
    University Press, 2018, pp. 37–72.'
date_created: 2026-02-26T07:18:05Z
date_updated: 2026-02-26T07:19:19Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1017/9781108332675.005
keyword:
- '22E50'
- '22E20'
- 22D05
- '22E35'
- '26E30'
- 37D10
language:
- iso: eng
page: 37–72
publication: New directions in locally compact groups
publication_identifier:
  isbn:
  - 978-1-108-41312-1; 978-1-108-33267-5
publisher: 'Cambridge: Cambridge University Press'
quality_controlled: '1'
status: public
title: Lectures on Lie groups over local fields
type: book_chapter
user_id: '178'
year: '2018'
...
---
_id: '64636'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Elementary p-adic Lie groups have finite construction rank. <i>Proceedings
    of the American Mathematical Society</i>. 2017;145(11):5007–5021. doi:<a href="https://doi.org/10.1090/proc/13637">10.1090/proc/13637</a>
  apa: Glöckner, H. (2017). Elementary p-adic Lie groups have finite construction
    rank. <i>Proceedings of the American Mathematical Society</i>, <i>145</i>(11),
    5007–5021. <a href="https://doi.org/10.1090/proc/13637">https://doi.org/10.1090/proc/13637</a>
  bibtex: '@article{Glöckner_2017, title={Elementary p-adic Lie groups have finite
    construction rank}, volume={145}, DOI={<a href="https://doi.org/10.1090/proc/13637">10.1090/proc/13637</a>},
    number={11}, journal={Proceedings of the American Mathematical Society}, author={Glöckner,
    Helge}, year={2017}, pages={5007–5021} }'
  chicago: 'Glöckner, Helge. “Elementary P-Adic Lie Groups Have Finite Construction
    Rank.” <i>Proceedings of the American Mathematical Society</i> 145, no. 11 (2017):
    5007–5021. <a href="https://doi.org/10.1090/proc/13637">https://doi.org/10.1090/proc/13637</a>.'
  ieee: 'H. Glöckner, “Elementary p-adic Lie groups have finite construction rank,”
    <i>Proceedings of the American Mathematical Society</i>, vol. 145, no. 11, pp.
    5007–5021, 2017, doi: <a href="https://doi.org/10.1090/proc/13637">10.1090/proc/13637</a>.'
  mla: Glöckner, Helge. “Elementary P-Adic Lie Groups Have Finite Construction Rank.”
    <i>Proceedings of the American Mathematical Society</i>, vol. 145, no. 11, 2017,
    pp. 5007–5021, doi:<a href="https://doi.org/10.1090/proc/13637">10.1090/proc/13637</a>.
  short: H. Glöckner, Proceedings of the American Mathematical Society 145 (2017)
    5007–5021.
date_created: 2026-02-26T07:25:14Z
date_updated: 2026-02-27T08:32:54Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1090/proc/13637
intvolume: '       145'
issue: '11'
keyword:
- '22E20'
language:
- iso: eng
page: 5007–5021
publication: Proceedings of the American Mathematical Society
publication_identifier:
  issn:
  - 0002-9939
quality_controlled: '1'
status: public
title: Elementary p-adic Lie groups have finite construction rank
type: journal_article
user_id: '178'
volume: 145
year: '2017'
...
---
_id: '64670'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Invariant manifolds for analytic dynamical systems over ultrametric
    fields. <i>Expositiones Mathematicae</i>. 2013;31(2):116–150. doi:<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>
  apa: Glöckner, H. (2013). Invariant manifolds for analytic dynamical systems over
    ultrametric fields. <i>Expositiones Mathematicae</i>, <i>31</i>(2), 116–150. <a
    href="https://doi.org/10.1016/j.exmath.2013.01.009">https://doi.org/10.1016/j.exmath.2013.01.009</a>
  bibtex: '@article{Glöckner_2013, title={Invariant manifolds for analytic dynamical
    systems over ultrametric fields}, volume={31}, DOI={<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>},
    number={2}, journal={Expositiones Mathematicae}, author={Glöckner, Helge}, year={2013},
    pages={116–150} }'
  chicago: 'Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over
    Ultrametric Fields.” <i>Expositiones Mathematicae</i> 31, no. 2 (2013): 116–150.
    <a href="https://doi.org/10.1016/j.exmath.2013.01.009">https://doi.org/10.1016/j.exmath.2013.01.009</a>.'
  ieee: 'H. Glöckner, “Invariant manifolds for analytic dynamical systems over ultrametric
    fields,” <i>Expositiones Mathematicae</i>, vol. 31, no. 2, pp. 116–150, 2013,
    doi: <a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>.'
  mla: Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over Ultrametric
    Fields.” <i>Expositiones Mathematicae</i>, vol. 31, no. 2, 2013, pp. 116–150,
    doi:<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>.
  short: H. Glöckner, Expositiones Mathematicae 31 (2013) 116–150.
date_created: 2026-02-26T11:01:41Z
date_updated: 2026-02-27T08:25:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.exmath.2013.01.009
intvolume: '        31'
issue: '2'
keyword:
- 37D10
- 46S10
- '26E30'
- '22E20'
- 37P20
language:
- iso: eng
page: 116–150
publication: Expositiones Mathematicae
publication_identifier:
  issn:
  - 0723-0869
quality_controlled: '1'
status: public
title: Invariant manifolds for analytic dynamical systems over ultrametric fields
type: journal_article
user_id: '178'
volume: 31
year: '2013'
...
---
_id: '64683'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Contractible Lie groups over local fields. <i>Mathematische Zeitschrift</i>.
    2008;260(4):889–904. doi:<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>
  apa: Glöckner, H. (2008). Contractible Lie groups over local fields. <i>Mathematische
    Zeitschrift</i>, <i>260</i>(4), 889–904. <a href="https://doi.org/10.1007/s00209-008-0305-x">https://doi.org/10.1007/s00209-008-0305-x</a>
  bibtex: '@article{Glöckner_2008, title={Contractible Lie groups over local fields},
    volume={260}, DOI={<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>},
    number={4}, journal={Mathematische Zeitschrift}, author={Glöckner, Helge}, year={2008},
    pages={889–904} }'
  chicago: 'Glöckner, Helge. “Contractible Lie Groups over Local Fields.” <i>Mathematische
    Zeitschrift</i> 260, no. 4 (2008): 889–904. <a href="https://doi.org/10.1007/s00209-008-0305-x">https://doi.org/10.1007/s00209-008-0305-x</a>.'
  ieee: 'H. Glöckner, “Contractible Lie groups over local fields,” <i>Mathematische
    Zeitschrift</i>, vol. 260, no. 4, pp. 889–904, 2008, doi: <a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>.'
  mla: Glöckner, Helge. “Contractible Lie Groups over Local Fields.” <i>Mathematische
    Zeitschrift</i>, vol. 260, no. 4, 2008, pp. 889–904, doi:<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>.
  short: H. Glöckner, Mathematische Zeitschrift 260 (2008) 889–904.
date_created: 2026-02-26T11:19:31Z
date_updated: 2026-02-27T08:21:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s00209-008-0305-x
intvolume: '       260'
issue: '4'
keyword:
- '22E20'
- '22E60'
language:
- iso: eng
page: 889–904
publication: Mathematische Zeitschrift
publication_identifier:
  issn:
  - 0025-5874
quality_controlled: '1'
status: public
title: Contractible Lie groups over local fields
type: journal_article
user_id: '178'
volume: 260
year: '2008'
...
---
_id: '64688'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Simplified proofs for the pro-Lie group theorem and the one-parameter
    subgroup lifting lemma. <i>Journal of Lie Theory</i>. 2007;17(4):899–902.
  apa: Glöckner, H. (2007). Simplified proofs for the pro-Lie group theorem and the
    one-parameter subgroup lifting lemma. <i>Journal of Lie Theory</i>, <i>17</i>(4),
    899–902.
  bibtex: '@article{Glöckner_2007, title={Simplified proofs for the pro-Lie group
    theorem and the one-parameter subgroup lifting lemma}, volume={17}, number={4},
    journal={Journal of Lie Theory}, author={Glöckner, Helge}, year={2007}, pages={899–902}
    }'
  chicago: 'Glöckner, Helge. “Simplified Proofs for the Pro-Lie Group Theorem and
    the One-Parameter Subgroup Lifting Lemma.” <i>Journal of Lie Theory</i> 17, no.
    4 (2007): 899–902.'
  ieee: H. Glöckner, “Simplified proofs for the pro-Lie group theorem and the one-parameter
    subgroup lifting lemma,” <i>Journal of Lie Theory</i>, vol. 17, no. 4, pp. 899–902,
    2007.
  mla: Glöckner, Helge. “Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter
    Subgroup Lifting Lemma.” <i>Journal of Lie Theory</i>, vol. 17, no. 4, 2007, pp.
    899–902.
  short: H. Glöckner, Journal of Lie Theory 17 (2007) 899–902.
date_created: 2026-02-26T11:31:36Z
date_updated: 2026-02-27T08:18:15Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
intvolume: '        17'
issue: '4'
keyword:
- 22A05
- '22E20'
- '22E65'
language:
- iso: eng
page: 899–902
publication: Journal of Lie Theory
publication_identifier:
  issn:
  - 0949-5932
quality_controlled: '1'
status: public
title: Simplified proofs for the pro-Lie group theorem and the one-parameter subgroup
  lifting lemma
type: journal_article
user_id: '178'
volume: 17
year: '2007'
...
---
_id: '64696'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Locally compact groups built up from p-adic Lie groups, for p in
    a given set of primes. <i>Journal of Group Theory</i>. 2006;9(4):427–454. doi:<a
    href="https://doi.org/10.1515/JGT.2006.028">10.1515/JGT.2006.028</a>
  apa: Glöckner, H. (2006). Locally compact groups built up from p-adic Lie groups,
    for p in a given set of primes. <i>Journal of Group Theory</i>, <i>9</i>(4), 427–454.
    <a href="https://doi.org/10.1515/JGT.2006.028">https://doi.org/10.1515/JGT.2006.028</a>
  bibtex: '@article{Glöckner_2006, title={Locally compact groups built up from p-adic
    Lie groups, for p in a given set of primes}, volume={9}, DOI={<a href="https://doi.org/10.1515/JGT.2006.028">10.1515/JGT.2006.028</a>},
    number={4}, journal={Journal of Group Theory}, author={Glöckner, Helge}, year={2006},
    pages={427–454} }'
  chicago: 'Glöckner, Helge. “Locally Compact Groups Built up from P-Adic Lie Groups,
    for p in a given Set of Primes.” <i>Journal of Group Theory</i> 9, no. 4 (2006):
    427–454. <a href="https://doi.org/10.1515/JGT.2006.028">https://doi.org/10.1515/JGT.2006.028</a>.'
  ieee: 'H. Glöckner, “Locally compact groups built up from p-adic Lie groups, for
    p in a given set of primes,” <i>Journal of Group Theory</i>, vol. 9, no. 4, pp.
    427–454, 2006, doi: <a href="https://doi.org/10.1515/JGT.2006.028">10.1515/JGT.2006.028</a>.'
  mla: Glöckner, Helge. “Locally Compact Groups Built up from P-Adic Lie Groups, for
    p in a given Set of Primes.” <i>Journal of Group Theory</i>, vol. 9, no. 4, 2006,
    pp. 427–454, doi:<a href="https://doi.org/10.1515/JGT.2006.028">10.1515/JGT.2006.028</a>.
  short: H. Glöckner, Journal of Group Theory 9 (2006) 427–454.
date_created: 2026-02-26T11:55:20Z
date_updated: 2026-02-27T07:59:11Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/JGT.2006.028
extern: '1'
intvolume: '         9'
issue: '4'
keyword:
- 22D05
- '22E20'
language:
- iso: eng
page: 427–454
publication: Journal of Group Theory
publication_identifier:
  issn:
  - 1433-5883
quality_controlled: '1'
status: public
title: Locally compact groups built up from p-adic Lie groups, for p in a given set
  of primes
type: journal_article
user_id: '178'
volume: 9
year: '2006'
...
---
_id: '64698'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Every smooth p-adic Lie group admits a compatible analytic structure.
    <i>Forum Mathematicum</i>. 2006;18(1):45–84. doi:<a href="https://doi.org/10.1515/FORUM.2006.003">10.1515/FORUM.2006.003</a>
  apa: Glöckner, H. (2006). Every smooth p-adic Lie group admits a compatible analytic
    structure. <i>Forum Mathematicum</i>, <i>18</i>(1), 45–84. <a href="https://doi.org/10.1515/FORUM.2006.003">https://doi.org/10.1515/FORUM.2006.003</a>
  bibtex: '@article{Glöckner_2006, title={Every smooth p-adic Lie group admits a compatible
    analytic structure}, volume={18}, DOI={<a href="https://doi.org/10.1515/FORUM.2006.003">10.1515/FORUM.2006.003</a>},
    number={1}, journal={Forum Mathematicum}, author={Glöckner, Helge}, year={2006},
    pages={45–84} }'
  chicago: 'Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic
    Structure.” <i>Forum Mathematicum</i> 18, no. 1 (2006): 45–84. <a href="https://doi.org/10.1515/FORUM.2006.003">https://doi.org/10.1515/FORUM.2006.003</a>.'
  ieee: 'H. Glöckner, “Every smooth p-adic Lie group admits a compatible analytic
    structure,” <i>Forum Mathematicum</i>, vol. 18, no. 1, pp. 45–84, 2006, doi: <a
    href="https://doi.org/10.1515/FORUM.2006.003">10.1515/FORUM.2006.003</a>.'
  mla: Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic
    Structure.” <i>Forum Mathematicum</i>, vol. 18, no. 1, 2006, pp. 45–84, doi:<a
    href="https://doi.org/10.1515/FORUM.2006.003">10.1515/FORUM.2006.003</a>.
  short: H. Glöckner, Forum Mathematicum 18 (2006) 45–84.
date_created: 2026-02-26T11:58:28Z
date_updated: 2026-02-27T07:57:55Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/FORUM.2006.003
extern: '1'
intvolume: '        18'
issue: '1'
keyword:
- '22E20'
- '22E65'
- 22A05
- 22D05
- '22E35'
language:
- iso: eng
page: 45–84
publication: Forum Mathematicum
publication_identifier:
  issn:
  - 0933-7741
quality_controlled: '1'
status: public
title: Every smooth p-adic Lie group admits a compatible analytic structure
type: journal_article
user_id: '178'
volume: 18
year: '2006'
...
---
_id: '64725'
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. Uniscalar p-adic Lie groups. <i>Forum Mathematicum</i>.
    2001;13(3):413–421. doi:<a href="https://doi.org/10.1515/form.2001.015">10.1515/form.2001.015</a>
  apa: Glöckner, H., &#38; Willis, G. A. (2001). Uniscalar p-adic Lie groups. <i>Forum
    Mathematicum</i>, <i>13</i>(3), 413–421. <a href="https://doi.org/10.1515/form.2001.015">https://doi.org/10.1515/form.2001.015</a>
  bibtex: '@article{Glöckner_Willis_2001, title={Uniscalar p-adic Lie groups}, volume={13},
    DOI={<a href="https://doi.org/10.1515/form.2001.015">10.1515/form.2001.015</a>},
    number={3}, journal={Forum Mathematicum}, author={Glöckner, Helge and Willis,
    George A.}, year={2001}, pages={413–421} }'
  chicago: 'Glöckner, Helge, and George A. Willis. “Uniscalar P-Adic Lie Groups.”
    <i>Forum Mathematicum</i> 13, no. 3 (2001): 413–421. <a href="https://doi.org/10.1515/form.2001.015">https://doi.org/10.1515/form.2001.015</a>.'
  ieee: 'H. Glöckner and G. A. Willis, “Uniscalar p-adic Lie groups,” <i>Forum Mathematicum</i>,
    vol. 13, no. 3, pp. 413–421, 2001, doi: <a href="https://doi.org/10.1515/form.2001.015">10.1515/form.2001.015</a>.'
  mla: Glöckner, Helge, and George A. Willis. “Uniscalar P-Adic Lie Groups.” <i>Forum
    Mathematicum</i>, vol. 13, no. 3, 2001, pp. 413–421, doi:<a href="https://doi.org/10.1515/form.2001.015">10.1515/form.2001.015</a>.
  short: H. Glöckner, G.A. Willis, Forum Mathematicum 13 (2001) 413–421.
date_created: 2026-02-26T13:10:20Z
date_updated: 2026-02-27T07:40:57Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/form.2001.015
extern: '1'
intvolume: '        13'
issue: '3'
keyword:
- '22E20'
- 20F50
- '20E08'
language:
- iso: eng
page: 413–421
publication: Forum Mathematicum
publication_identifier:
  issn:
  - 0933-7741
quality_controlled: '1'
status: public
title: Uniscalar p-adic Lie groups
type: journal_article
user_id: '178'
volume: 13
year: '2001'
...
---
_id: '64728'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Scale functions on p-adic Lie groups. <i>Manuscripta Mathematica</i>.
    1998;97(2):205–215. doi:<a href="https://doi.org/10.1007/s002290050097">10.1007/s002290050097</a>
  apa: Glöckner, H. (1998). Scale functions on p-adic Lie groups. <i>Manuscripta Mathematica</i>,
    <i>97</i>(2), 205–215. <a href="https://doi.org/10.1007/s002290050097">https://doi.org/10.1007/s002290050097</a>
  bibtex: '@article{Glöckner_1998, title={Scale functions on p-adic Lie groups}, volume={97},
    DOI={<a href="https://doi.org/10.1007/s002290050097">10.1007/s002290050097</a>},
    number={2}, journal={Manuscripta Mathematica}, author={Glöckner, Helge}, year={1998},
    pages={205–215} }'
  chicago: 'Glöckner, Helge. “Scale Functions on P-Adic Lie Groups.” <i>Manuscripta
    Mathematica</i> 97, no. 2 (1998): 205–215. <a href="https://doi.org/10.1007/s002290050097">https://doi.org/10.1007/s002290050097</a>.'
  ieee: 'H. Glöckner, “Scale functions on p-adic Lie groups,” <i>Manuscripta Mathematica</i>,
    vol. 97, no. 2, pp. 205–215, 1998, doi: <a href="https://doi.org/10.1007/s002290050097">10.1007/s002290050097</a>.'
  mla: Glöckner, Helge. “Scale Functions on P-Adic Lie Groups.” <i>Manuscripta Mathematica</i>,
    vol. 97, no. 2, 1998, pp. 205–215, doi:<a href="https://doi.org/10.1007/s002290050097">10.1007/s002290050097</a>.
  short: H. Glöckner, Manuscripta Mathematica 97 (1998) 205–215.
date_created: 2026-02-26T13:30:26Z
date_updated: 2026-02-27T07:39:29Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s002290050097
extern: '1'
intvolume: '        97'
issue: '2'
keyword:
- '22E20'
- 20G25
- 22D05
language:
- iso: eng
page: 205–215
publication: Manuscripta Mathematica
publication_identifier:
  issn:
  - 0025-2611
quality_controlled: '1'
status: public
title: Scale functions on p-adic Lie groups
type: journal_article
user_id: '178'
volume: 97
year: '1998'
...