--- _id: '64629' 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. Infinite-dimensional Lie groups. Published online 2026. apa: Glöckner, H., & Neeb, K.-H. (2026). Infinite-dimensional Lie groups. bibtex: '@article{Glöckner_Neeb_2026, title={Infinite-dimensional Lie groups}, author={Glöckner, Helge and Neeb, Karl-Hermann}, year={2026} }' chicago: Glöckner, Helge, and Karl-Hermann Neeb. “Infinite-Dimensional Lie Groups,” 2026. ieee: H. Glöckner and K.-H. Neeb, “Infinite-dimensional Lie groups.” 2026. mla: Glöckner, Helge, and Karl-Hermann Neeb. Infinite-Dimensional Lie Groups. 2026. short: H. Glöckner, K.-H. Neeb, (2026). date_created: 2026-02-26T06:56:00Z date_updated: 2026-02-26T06:58:23Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:2602.12362 language: - iso: eng page: '1056' status: public title: Infinite-dimensional Lie groups type: preprint user_id: '178' year: '2026' ... --- _id: '65036' author: - first_name: Tal full_name: Cohen, Tal last_name: Cohen - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Gil full_name: Goffer, Gil last_name: Goffer - first_name: Waltraud full_name: Lederle, Waltraud last_name: Lederle citation: ama: Cohen T, Glöckner H, Goffer G, Lederle W. Compact invariant random subgroups. Published online 2026. apa: Cohen, T., Glöckner, H., Goffer, G., & Lederle, W. (2026). Compact invariant random subgroups. bibtex: '@article{Cohen_Glöckner_Goffer_Lederle_2026, title={Compact invariant random subgroups}, author={Cohen, Tal and Glöckner, Helge and Goffer, Gil and Lederle, Waltraud}, year={2026} }' chicago: Cohen, Tal, Helge Glöckner, Gil Goffer, and Waltraud Lederle. “Compact Invariant Random Subgroups,” 2026. ieee: T. Cohen, H. Glöckner, G. Goffer, and W. Lederle, “Compact invariant random subgroups.” 2026. mla: Cohen, Tal, et al. Compact Invariant Random Subgroups. 2026. short: T. Cohen, H. Glöckner, G. Goffer, W. Lederle, (2026). date_created: 2026-03-18T02:49:44Z date_updated: 2026-03-18T02:50:18Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - 'arXiv:2603.16022 ' language: - iso: eng status: public title: Compact invariant random subgroups type: preprint user_id: '178' year: '2026' ... --- _id: '63649' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding - first_name: Ali full_name: Suri, Ali id: '89268' last_name: Suri orcid: https://orcid.org/0000-0002-9682-9037 citation: ama: Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. Geometric Mechanics. 2025;01(04):383-437. doi:10.1142/s2972458925500029 apa: Glöckner, H., Schmeding, A., & Suri, A. (2025). Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. Geometric Mechanics, 01(04), 383–437. https://doi.org/10.1142/s2972458925500029 bibtex: '@article{Glöckner_Schmeding_Suri_2025, title={Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups}, volume={01}, DOI={10.1142/s2972458925500029}, number={04}, journal={Geometric Mechanics}, publisher={World Scientific Pub Co Pte Ltd}, author={Glöckner, Helge and Schmeding, Alexander and Suri, Ali}, year={2025}, pages={383–437} }' chicago: 'Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” Geometric Mechanics 01, no. 04 (2025): 383–437. https://doi.org/10.1142/s2972458925500029.' ieee: 'H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups,” Geometric Mechanics, vol. 01, no. 04, pp. 383–437, 2025, doi: 10.1142/s2972458925500029.' mla: Glöckner, Helge, et al. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” Geometric Mechanics, vol. 01, no. 04, World Scientific Pub Co Pte Ltd, 2025, pp. 383–437, doi:10.1142/s2972458925500029. short: H. Glöckner, A. Schmeding, A. Suri, Geometric Mechanics 01 (2025) 383–437. date_created: 2026-01-16T10:22:21Z date_updated: 2026-01-16T10:25:34Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1142/s2972458925500029 intvolume: ' 1' issue: '04' language: - iso: eng page: 383-437 publication: Geometric Mechanics publication_identifier: issn: - 2972-4589 - 2972-4597 publication_status: published publisher: World Scientific Pub Co Pte Ltd quality_controlled: '1' status: public title: Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups type: journal_article user_id: '178' volume: '01' year: '2025' ... --- _id: '64736' citation: ama: Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. Vol 35.; 2025. apa: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday. (2025). In J. Frahm, H. Glöckner, J. Hilgert, & G. Olafsson (Eds.), J. Lie Theory (Vol. 35, Issue 4). bibtex: '@book{Frahm_Glöckner_Hilgert_Olafsson_2025, title={Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday}, volume={35}, number={4}, journal={J. Lie Theory}, year={2025} }' chicago: Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. J. Lie Theory. Vol. 35, 2025. ieee: J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday, vol. 35, no. 4. 2025. mla: Frahm, Jan, et al., editors. “Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday.” J. Lie Theory, vol. 35, no. 4, 2025. short: J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday, 2025. date_created: 2026-02-26T17:42:01Z date_updated: 2026-02-26T17:51:43Z department: - _id: '10' - _id: '87' - _id: '93' editor: - first_name: Jan full_name: Frahm, Jan last_name: Frahm - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Gestur full_name: Olafsson, Gestur last_name: Olafsson intvolume: ' 35' issue: '4' language: - iso: eng publication: J. Lie Theory quality_controlled: '1' status: public title: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday type: journal_editor user_id: '178' volume: 35 year: '2025' ... --- _id: '34807' abstract: - lang: eng text: "Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of all\r\nreal-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space\r\n${\\mathfrak g}$ of real-analytic vector fields on $M$. We study flows of\r\ntime-dependent real-analytic vector fields on $M$ which are integrable\r\nfunctions in time, and their dependence on the time-dependent vector field.\r\nNotably, we show that the Lie group $G$ is $L^1$-regular in the sense that each\r\n$[\\gamma]$ in $L^1([0,1],{\\mathfrak g})$ has an evolution which is an\r\nabsolutely continuous $G$-valued function on $[0,1]$ and smooth in $[\\gamma]$.\r\nAs tools for the proof, we develop several new results concerning\r\n$L^p$-regularity of infinite-dimensional Lie groups, for $1\\leq p\\leq \\infty$,\r\nwhich will be useful also for the discussion of other classes of groups.\r\nMoreover, we obtain new results concerning the continuity and complex\r\nanalyticity of non-linear mappings on open subsets of locally convex direct\r\nlimits." article_number: '113690' author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. Nonlinear Analysis. 2025;252. doi:10.1016/j.na.2024.113690 apa: Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular. Nonlinear Analysis, 252, Article 113690. https://doi.org/10.1016/j.na.2024.113690 bibtex: '@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms are L^1-regular}, volume={252}, DOI={10.1016/j.na.2024.113690}, number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025} }' chicago: Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” Nonlinear Analysis 252 (2025). https://doi.org/10.1016/j.na.2024.113690. ieee: 'H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” Nonlinear Analysis, vol. 252, Art. no. 113690, 2025, doi: 10.1016/j.na.2024.113690.' mla: Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” Nonlinear Analysis, vol. 252, 113690, 2025, doi:10.1016/j.na.2024.113690. short: H. Glöckner, Nonlinear Analysis 252 (2025). date_created: 2022-12-22T07:49:32Z date_updated: 2024-12-24T16:58:38Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1016/j.na.2024.113690 intvolume: ' 252' language: - iso: eng publication: Nonlinear Analysis quality_controlled: '1' status: public title: Lie groups of real analytic diffeomorphisms are L^1-regular type: journal_article user_id: '178' volume: 252 year: '2025' ... --- _id: '56116' author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Erlend full_name: Grong, Erlend last_name: Grong - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: Glöckner H, Grong E, Schmeding A. Boundary values of diffeomorphisms of simple polytopes, and controllability. Published online 2024. apa: Glöckner, H., Grong, E., & Schmeding, A. (2024). Boundary values of diffeomorphisms of simple polytopes, and controllability. bibtex: '@article{Glöckner_Grong_Schmeding_2024, title={Boundary values of diffeomorphisms of simple polytopes, and controllability}, author={Glöckner, Helge and Grong, Erlend and Schmeding, Alexander}, year={2024} }' chicago: Glöckner, Helge, Erlend Grong, and Alexander Schmeding. “Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability,” 2024. ieee: H. Glöckner, E. Grong, and A. Schmeding, “Boundary values of diffeomorphisms of simple polytopes, and controllability.” 2024. mla: Glöckner, Helge, et al. Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability. 2024. short: H. Glöckner, E. Grong, A. Schmeding, (2024). date_created: 2024-09-11T22:50:56Z date_updated: 2024-09-11T22:51:26Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2407.05444' language: - iso: eng status: public title: Boundary values of diffeomorphisms of simple polytopes, and controllability type: preprint user_id: '178' year: '2024' ... --- _id: '56583' author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Ali full_name: Suri, Ali last_name: Suri citation: ama: Glöckner H, Suri A. L^1-regularity of strong ILB-Lie groups. Published online 2024. apa: Glöckner, H., & Suri, A. (2024). L^1-regularity of strong ILB-Lie groups. bibtex: '@article{Glöckner_Suri_2024, title={L^1-regularity of strong ILB-Lie groups}, author={Glöckner, Helge and Suri, Ali}, year={2024} }' chicago: Glöckner, Helge, and Ali Suri. “L^1-Regularity of Strong ILB-Lie Groups,” 2024. ieee: H. Glöckner and A. Suri, “L^1-regularity of strong ILB-Lie groups.” 2024. mla: Glöckner, Helge, and Ali Suri. L^1-Regularity of Strong ILB-Lie Groups. 2024. short: H. Glöckner, A. Suri, (2024). date_created: 2024-10-10T15:49:15Z date_updated: 2024-10-10T15:51:43Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2410.02909' language: - iso: eng status: public title: L^1-regularity of strong ILB-Lie groups type: preprint user_id: '178' year: '2024' ... --- _id: '34793' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232. doi:10.1016/j.jde.2022.10.001 apa: Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations, 343, 186–232. https://doi.org/10.1016/j.jde.2022.10.001 bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }' chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023): 186–232. https://doi.org/10.1016/j.jde.2022.10.001.' ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.' mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations, vol. 343, 2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001. short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232. date_created: 2022-12-21T19:31:13Z date_updated: 2024-03-22T16:02:32Z department: - _id: '10' - _id: '87' - _id: '93' - _id: '91' doi: 10.1016/j.jde.2022.10.001 external_id: arxiv: - '2007.11277' intvolume: ' 343' keyword: - '22E65' - 28B05 - 34A12 - 34H05 - '46E30' - '46E40' language: - iso: eng page: 186–232 publication: Journal of Differential Equations publication_identifier: issn: - 0022-0396 quality_controlled: '1' status: public title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds type: journal_article user_id: '178' volume: 343 year: '2023' ... --- _id: '34803' article_number: '50' author: - first_name: Elena full_name: Celledoni, Elena last_name: Celledoni - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Jørgen full_name: Riseth, Jørgen last_name: Riseth - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics. 2023;63. doi:10.1007/s10543-023-00989-05 apa: Celledoni, E., Glöckner, H., Riseth, J., & Schmeding, A. (2023). Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics, 63, Article 50. https://doi.org/10.1007/s10543-023-00989-05 bibtex: '@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={10.1007/s10543-023-00989-05}, number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni, Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023} }' chicago: Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics 63 (2023). https://doi.org/10.1007/s10543-023-00989-05. ieee: 'E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks on diffeomorphism groups for optimal shape reparametrization,” BIT Numerical Mathematics, vol. 63, Art. no. 50, 2023, doi: 10.1007/s10543-023-00989-05.' mla: Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics, vol. 63, 50, Springer, 2023, doi:10.1007/s10543-023-00989-05. short: E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics 63 (2023). date_created: 2022-12-22T07:37:20Z date_updated: 2024-08-09T08:48:06Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1007/s10543-023-00989-05 external_id: arxiv: - '2207.11141' intvolume: ' 63' language: - iso: eng publication: BIT Numerical Mathematics publisher: Springer quality_controlled: '1' status: public title: Deep neural networks on diffeomorphism groups for optimal shape reparametrization type: journal_article user_id: '178' volume: 63 year: '2023' ... --- _id: '34805' abstract: - lang: eng text: "Let $E$ be a finite-dimensional real vector space and $M\\subseteq E$ be a\r\nconvex polytope with non-empty interior. We turn the group of all\r\n$C^\\infty$-diffeomorphisms of $M$ into a regular Lie group." author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Diffeomorphism groups of convex polytopes. Journal of Convex Analysis. 2023;30(1):343-358. apa: Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. Journal of Convex Analysis, 30(1), 343–358. bibtex: '@article{Glöckner_2023, title={Diffeomorphism groups of convex polytopes}, volume={30}, number={1}, journal={Journal of Convex Analysis}, publisher={Heldermann}, author={Glöckner, Helge}, year={2023}, pages={343–358} }' chicago: 'Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis 30, no. 1 (2023): 343–58.' ieee: H. Glöckner, “Diffeomorphism groups of convex polytopes,” Journal of Convex Analysis, vol. 30, no. 1, pp. 343–358, 2023. mla: Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis, vol. 30, no. 1, Heldermann, 2023, pp. 343–58. short: H. Glöckner, Journal of Convex Analysis 30 (2023) 343–358. date_created: 2022-12-22T07:45:13Z date_updated: 2024-08-09T08:49:17Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2203.09285' intvolume: ' 30' issue: '1' language: - iso: eng page: 343-358 publication: Journal of Convex Analysis publisher: Heldermann quality_controlled: '1' status: public title: Diffeomorphism groups of convex polytopes type: journal_article user_id: '178' volume: 30 year: '2023' ... --- _id: '34801' author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Luis full_name: Tárrega, Luis last_name: Tárrega citation: ama: Glöckner H, Tárrega L. Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory. 2023;33(1):271-296. apa: Glöckner, H., & Tárrega, L. (2023). Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory, 33(1), 271–296. bibtex: '@article{Glöckner_Tárrega_2023, title={Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups }, volume={33}, number={1}, journal={Journal of Lie Theory}, publisher={Heldermann}, author={Glöckner, Helge and Tárrega, Luis}, year={2023}, pages={271–296} }' chicago: 'Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory 33, no. 1 (2023): 271–96.' ieee: H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ,” Journal of Lie Theory, vol. 33, no. 1, pp. 271–296, 2023. mla: Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory, vol. 33, no. 1, Heldermann, 2023, pp. 271–96. short: H. Glöckner, L. Tárrega, Journal of Lie Theory 33 (2023) 271–296. date_created: 2022-12-22T07:23:57Z date_updated: 2024-08-09T08:48:51Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2210.01246' intvolume: ' 33' issue: '1' language: - iso: eng page: 271-296 publication: Journal of Lie Theory publisher: Heldermann quality_controlled: '1' status: public title: 'Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ' type: journal_article user_id: '178' volume: 33 year: '2023' ... --- _id: '34792' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic. p-Adic Numbers, Ultrametric Analysis, and Applications. 2022;14(2):138–144. doi:10.1134/S2070046622020042 apa: Glöckner, H. (2022). Non-Lie subgroups in Lie groups over local fields of positive characteristic. P-Adic Numbers, Ultrametric Analysis, and Applications, 14(2), 138–144. https://doi.org/10.1134/S2070046622020042 bibtex: '@article{Glöckner_2022, title={Non-Lie subgroups in Lie groups over local fields of positive characteristic}, volume={14}, DOI={10.1134/S2070046622020042}, number={2}, journal={p-Adic Numbers, Ultrametric Analysis, and Applications}, author={Glöckner, Helge}, year={2022}, pages={138–144} }' chicago: 'Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications 14, no. 2 (2022): 138–144. https://doi.org/10.1134/S2070046622020042.' ieee: 'H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive characteristic,” p-Adic Numbers, Ultrametric Analysis, and Applications, vol. 14, no. 2, pp. 138–144, 2022, doi: 10.1134/S2070046622020042.' mla: Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications, vol. 14, no. 2, 2022, pp. 138–144, doi:10.1134/S2070046622020042. short: H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022) 138–144. date_created: 2022-12-21T19:27:51Z date_updated: 2022-12-21T19:30:25Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1134/S2070046622020042 intvolume: ' 14' issue: '2' keyword: - 20Exx - 22Exx - 32Cxx language: - iso: eng page: 138–144 publication: p-Adic Numbers, Ultrametric Analysis, and Applications publication_identifier: issn: - 2070-0466 quality_controlled: '1' status: public title: Non-Lie subgroups in Lie groups over local fields of positive characteristic type: journal_article user_id: '178' volume: 14 year: '2022' ... --- _id: '34791' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry. 2022;61(2):359–398. doi:10.1007/s10455-021-09816-y apa: Glöckner, H., & Schmeding, A. (2022). Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry, 61(2), 359–398. https://doi.org/10.1007/s10455-021-09816-y bibtex: '@article{Glöckner_Schmeding_2022, title={Manifolds of mappings on Cartesian products}, volume={61}, DOI={10.1007/s10455-021-09816-y}, number={2}, journal={Annals of Global Analysis and Geometry}, author={Glöckner, Helge and Schmeding, Alexander}, year={2022}, pages={359–398} }' chicago: 'Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry 61, no. 2 (2022): 359–398. https://doi.org/10.1007/s10455-021-09816-y.' ieee: 'H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” Annals of Global Analysis and Geometry, vol. 61, no. 2, pp. 359–398, 2022, doi: 10.1007/s10455-021-09816-y.' mla: Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry, vol. 61, no. 2, 2022, pp. 359–398, doi:10.1007/s10455-021-09816-y. short: H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022) 359–398. date_created: 2022-12-21T19:24:48Z date_updated: 2022-12-21T19:27:09Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1007/s10455-021-09816-y intvolume: ' 61' issue: '2' keyword: - 58D15 - '22E65' - '26E15' - '26E20' - '46E40' - 46T20 - 58A05 language: - iso: eng page: 359–398 publication: Annals of Global Analysis and Geometry publication_identifier: issn: - 0232-704X quality_controlled: '1' status: public title: Manifolds of mappings on Cartesian products type: journal_article user_id: '178' volume: 61 year: '2022' ... --- _id: '34796' abstract: - lang: eng text: 'We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector bundles, to construct new bundles from given ones, such as dual bundles, topological tensor products, infinite direct sums, and completions (under suitable hypotheses); (2) in the theory of locally convex Poisson vector spaces, to prove continuity of the Poisson bracket and continuity of passage from a function to the associated Hamiltonian vector field. Topological properties of topological vector spaces are essential for the studies, which allow the hypocontinuity of bilinear mappings to be exploited. Notably, we encounter kR-spaces and locally convex spaces E such that E×E is a kR-space.' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. Axioms. 2022;11(5). doi:10.3390/axioms11050221 apa: Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. Axioms, 11(5). https://doi.org/10.3390/axioms11050221 bibtex: '@article{Glöckner_2022, title={Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces}, volume={11}, DOI={10.3390/axioms11050221}, number={5}, journal={Axioms}, author={Glöckner, Helge}, year={2022} }' chicago: Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms 11, no. 5 (2022). https://doi.org/10.3390/axioms11050221. ieee: 'H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” Axioms, vol. 11, no. 5, 2022, doi: 10.3390/axioms11050221.' mla: Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms, vol. 11, no. 5, 2022, doi:10.3390/axioms11050221. short: H. Glöckner, Axioms 11 (2022). date_created: 2022-12-21T20:02:29Z date_updated: 2022-12-22T07:31:55Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.3390/axioms11050221 intvolume: ' 11' issue: '5' language: - iso: eng publication: Axioms publication_identifier: issn: - 2075-1680 quality_controlled: '1' status: public title: Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces type: journal_article user_id: '178' volume: 11 year: '2022' ... --- _id: '34804' abstract: - lang: eng text: "Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing suitable commutative topological algebras. We study Birkhoff\r\ndecompositions for the corresponding loop groups. Some results remain valid for\r\nloop groups with valued in complex Banach-Lie groups." author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. arXiv:220611711. Published online 2022. apa: Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In arXiv:2206.11711. bibtex: '@article{Glöckner_2022, title={Birkhoff decompositions for loop groups with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge}, year={2022} }' chicago: Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022. ieee: H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” arXiv:2206.11711. 2022. mla: Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022. short: H. Glöckner, ArXiv:2206.11711 (2022). date_created: 2022-12-22T07:42:07Z date_updated: 2022-12-22T07:44:08Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2206.11711' language: - iso: eng publication: arXiv:2206.11711 status: public title: Birkhoff decompositions for loop groups with coefficient algebras type: preprint user_id: '178' year: '2022' ... --- _id: '34786' abstract: - lang: eng text: A locally compact contraction group is a pair (G,α), where G is a locally compact group and α:G→G an automorphism such that αn(x)→e pointwise as n→∞. We show that every surjective, continuous, equivariant homomorphism between locally compact contraction groups admits an equivariant continuous global section. As a consequence, extensions of locally compact contraction groups with abelian kernel can be described by continuous equivariant cohomology. For each prime number p, we use 2-cocycles to construct uncountably many pairwise non-isomorphic totally disconnected, locally compact contraction groups (G,α) which are central extensions0→Fp((t))→G→Fp((t))→0 of the additive group of the field of formal Laurent series over Fp=Z/pZ by itself. By contrast, there are only countably many locally compact contraction groups (up to isomorphism) which are torsion groups and abelian, as follows from a classification of the abelian locally compact contraction groups. 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. Decompositions of locally compact contraction groups, series and extensions. Journal of Algebra. 2021;570:164-214. doi:https://doi.org/10.1016/j.jalgebra.2020.11.007 apa: Glöckner, H., & Willis, G. A. (2021). Decompositions of locally compact contraction groups, series and extensions. Journal of Algebra, 570, 164–214. https://doi.org/10.1016/j.jalgebra.2020.11.007 bibtex: '@article{Glöckner_Willis_2021, title={Decompositions of locally compact contraction groups, series and extensions}, volume={570}, DOI={https://doi.org/10.1016/j.jalgebra.2020.11.007}, journal={Journal of Algebra}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={164–214} }' chicago: 'Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” Journal of Algebra 570 (2021): 164–214. https://doi.org/10.1016/j.jalgebra.2020.11.007.' ieee: 'H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction groups, series and extensions,” Journal of Algebra, vol. 570, pp. 164–214, 2021, doi: https://doi.org/10.1016/j.jalgebra.2020.11.007.' mla: Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” Journal of Algebra, vol. 570, 2021, pp. 164–214, doi:https://doi.org/10.1016/j.jalgebra.2020.11.007. short: H. Glöckner, G.A. Willis, Journal of Algebra 570 (2021) 164–214. date_created: 2022-12-21T18:43:08Z date_updated: 2022-12-21T18:58:44Z department: - _id: '10' - _id: '87' - _id: '93' doi: https://doi.org/10.1016/j.jalgebra.2020.11.007 intvolume: ' 570' keyword: - Contraction group - Torsion group - Extension - Cocycle - Section - Equivariant cohomology - Abelian group - Nilpotent group - Isomorphism types language: - iso: eng page: 164-214 publication: Journal of Algebra publication_identifier: issn: - 0021-8693 quality_controlled: '1' status: public title: Decompositions of locally compact contraction groups, series and extensions type: journal_article user_id: '178' volume: 570 year: '2021' ... --- _id: '34795' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Direct limits of regular Lie groups. Mathematische Nachrichten. 2021;294(1):74–81. doi:10.1002/mana.201900073 apa: Glöckner, H. (2021). Direct limits of regular Lie groups. Mathematische Nachrichten, 294(1), 74–81. https://doi.org/10.1002/mana.201900073 bibtex: '@article{Glöckner_2021, title={Direct limits of regular Lie groups}, volume={294}, DOI={10.1002/mana.201900073}, number={1}, journal={Mathematische Nachrichten}, author={Glöckner, Helge}, year={2021}, pages={74–81} }' chicago: 'Glöckner, Helge. “Direct Limits of Regular Lie Groups.” Mathematische Nachrichten 294, no. 1 (2021): 74–81. https://doi.org/10.1002/mana.201900073.' ieee: 'H. Glöckner, “Direct limits of regular Lie groups,” Mathematische Nachrichten, vol. 294, no. 1, pp. 74–81, 2021, doi: 10.1002/mana.201900073.' mla: Glöckner, Helge. “Direct Limits of Regular Lie Groups.” Mathematische Nachrichten, vol. 294, no. 1, 2021, pp. 74–81, doi:10.1002/mana.201900073. short: H. Glöckner, Mathematische Nachrichten 294 (2021) 74–81. date_created: 2022-12-21T19:57:32Z date_updated: 2022-12-21T20:00:29Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1002/mana.201900073 intvolume: ' 294' issue: '1' language: - iso: eng page: 74–81 publication: Mathematische Nachrichten publication_identifier: issn: - 0025-584X quality_controlled: '1' status: public title: Direct limits of regular Lie groups type: journal_article user_id: '178' volume: 294 year: '2021' ... --- _id: '34806' abstract: - lang: eng text: "Let $G$ be a Lie group over a totally disconnected local field and $\\alpha$\r\nbe an analytic endomorphism of $G$. The contraction group of $\\alpha$ ist the\r\nset of all $x\\in G$ such that $\\alpha^n(x)\\to e$ as $n\\to\\infty$. Call sequence\r\n$(x_{-n})_{n\\geq 0}$ in $G$ an $\\alpha$-regressive trajectory for $x\\in G$ if\r\n$\\alpha(x_{-n})=x_{-n+1}$ for all $n\\geq 1$ and $x_0=x$. The anti-contraction\r\ngroup of $\\alpha$ is the set of all $x\\in G$ admitting an $\\alpha$-regressive\r\ntrajectory $(x_{-n})_{n\\geq 0}$ such that $x_{-n}\\to e$ as $n\\to\\infty$. The\r\nLevi subgroup is the set of all $x\\in G$ whose $\\alpha$-orbit is relatively\r\ncompact, and such that $x$ admits an $\\alpha$-regressive trajectory\r\n$(x_{-n})_{n\\geq 0}$ such that $\\{x_{-n}\\colon n\\geq 0\\}$ is relatively\r\ncompact. The big cell associated to $\\alpha$ is the set $\\Omega$ of all all\r\nproducts $xyz$ with $x$ in the contraction group, $y$ in the Levi subgroup and\r\n$z$ in the anti-contraction group. Let $\\pi$ be the mapping from the cartesian\r\nproduct of the contraction group, Levi subgroup and anti-contraction group to\r\n$\\Omega$ which maps $(x,y,z)$ to $xyz$. We show: $\\Omega$ is open in $G$ and\r\n$\\pi$ is \\'{e}tale for suitable immersed Lie subgroup structures on the three\r\nsubgroups just mentioned. Moreover, we study group-theoretic properties of\r\ncontraction groups and anti-contraction groups." author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. arXiv:210102981. Published online 2021. apa: Glöckner, H. (2021). Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. In arXiv:2101.02981. bibtex: '@article{Glöckner_2021, title={Contraction groups and the big cell for endomorphisms of Lie groups over  local fields}, journal={arXiv:2101.02981}, author={Glöckner, Helge}, year={2021} }' chicago: Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” ArXiv:2101.02981, 2021. ieee: H. Glöckner, “Contraction groups and the big cell for endomorphisms of Lie groups over  local fields,” arXiv:2101.02981. 2021. mla: Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” ArXiv:2101.02981, 2021. short: H. Glöckner, ArXiv:2101.02981 (2021). date_created: 2022-12-22T07:47:35Z date_updated: 2022-12-22T07:48:29Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - '2101.02981' language: - iso: eng publication: arXiv:2101.02981 status: public title: Contraction groups and the big cell for endomorphisms of Lie groups over local fields type: preprint user_id: '178' year: '2021' ... --- _id: '34790' 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. Locally pro-p contraction groups are nilpotent. Journal für die reine und angewandte Mathematik. 2021;781:85–103. doi:10.1515/crelle-2021-0050 apa: Glöckner, H., & Willis, G. A. (2021). Locally pro-p contraction groups are nilpotent. Journal Für Die Reine Und Angewandte Mathematik, 781, 85–103. https://doi.org/10.1515/crelle-2021-0050 bibtex: '@article{Glöckner_Willis_2021, title={Locally pro-p contraction groups are nilpotent}, volume={781}, DOI={10.1515/crelle-2021-0050}, journal={Journal für die reine und angewandte Mathematik}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={85–103} }' chicago: 'Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” Journal Für Die Reine Und Angewandte Mathematik 781 (2021): 85–103. https://doi.org/10.1515/crelle-2021-0050.' ieee: 'H. Glöckner and G. A. Willis, “Locally pro-p contraction groups are nilpotent,” Journal für die reine und angewandte Mathematik, vol. 781, pp. 85–103, 2021, doi: 10.1515/crelle-2021-0050.' mla: Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” Journal Für Die Reine Und Angewandte Mathematik, vol. 781, 2021, pp. 85–103, doi:10.1515/crelle-2021-0050. short: H. Glöckner, G.A. Willis, Journal Für Die Reine Und Angewandte Mathematik 781 (2021) 85–103. date_created: 2022-12-21T19:17:28Z date_updated: 2026-02-27T08:34:58Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1515/crelle-2021-0050 intvolume: ' 781' keyword: - 22D05 - 22A05 - '20E18' language: - iso: eng page: 85–103 publication: Journal für die reine und angewandte Mathematik publication_identifier: issn: - 0075-4102 quality_controlled: '1' status: public title: Locally pro-p contraction groups are nilpotent type: journal_article user_id: '178' volume: 781 year: '2021' ... --- _id: '34789' article_type: original author: - first_name: Habib full_name: Amiri, Habib last_name: Amiri - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: Amiri H, Glöckner H, Schmeding A. Lie groupoids of mappings taking values in a Lie groupoid. Archivum Mathematicum. 2020;56(5):307–356. doi:10.5817/AM2020-5-307 apa: Amiri, H., Glöckner, H., & Schmeding, A. (2020). Lie groupoids of mappings taking values in a Lie groupoid. Archivum Mathematicum, 56(5), 307–356. https://doi.org/10.5817/AM2020-5-307 bibtex: '@article{Amiri_Glöckner_Schmeding_2020, title={Lie groupoids of mappings taking values in a Lie groupoid}, volume={56}, DOI={10.5817/AM2020-5-307}, number={5}, journal={Archivum Mathematicum}, author={Amiri, Habib and Glöckner, Helge and Schmeding, Alexander}, year={2020}, pages={307–356} }' chicago: 'Amiri, Habib, Helge Glöckner, and Alexander Schmeding. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” Archivum Mathematicum 56, no. 5 (2020): 307–356. https://doi.org/10.5817/AM2020-5-307.' ieee: 'H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” Archivum Mathematicum, vol. 56, no. 5, pp. 307–356, 2020, doi: 10.5817/AM2020-5-307.' mla: Amiri, Habib, et al. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” Archivum Mathematicum, vol. 56, no. 5, 2020, pp. 307–356, doi:10.5817/AM2020-5-307. short: H. Amiri, H. Glöckner, A. Schmeding, Archivum Mathematicum 56 (2020) 307–356. date_created: 2022-12-21T19:13:24Z date_updated: 2022-12-21T19:15:59Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.5817/AM2020-5-307 intvolume: ' 56' issue: '5' keyword: - 22A22 - '22E65' - '22E67' - 46T10 - 47H30 - 58D15 - 58H05 language: - iso: eng page: 307–356 publication: Archivum Mathematicum publication_identifier: issn: - 0044-8753 quality_controlled: '1' status: public title: Lie groupoids of mappings taking values in a Lie groupoid type: journal_article user_id: '178' volume: 56 year: '2020' ...