[{"language":[{"iso":"eng"}],"external_id":{"arxiv":["arXiv:2602.12362"]},"_id":"64629","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"status":"public","type":"preprint","title":"Infinite-dimensional Lie groups","date_updated":"2026-02-26T06:58:23Z","author":[{"first_name":"Helge","last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge"},{"last_name":"Neeb","full_name":"Neeb, Karl-Hermann","first_name":"Karl-Hermann"}],"date_created":"2026-02-26T06:56:00Z","year":"2026","citation":{"apa":"Glöckner, H., &#38; Neeb, K.-H. (2026). <i>Infinite-dimensional Lie groups</i>.","short":"H. Glöckner, K.-H. Neeb, (2026).","mla":"Glöckner, Helge, and Karl-Hermann Neeb. <i>Infinite-Dimensional Lie Groups</i>. 2026.","bibtex":"@article{Glöckner_Neeb_2026, title={Infinite-dimensional Lie groups}, author={Glöckner, Helge and Neeb, Karl-Hermann}, year={2026} }","ama":"Glöckner H, Neeb K-H. Infinite-dimensional Lie groups. Published online 2026.","ieee":"H. Glöckner and K.-H. Neeb, “Infinite-dimensional Lie groups.” 2026.","chicago":"Glöckner, Helge, and Karl-Hermann Neeb. “Infinite-Dimensional Lie Groups,” 2026."},"page":"1056"},{"citation":{"ama":"Cohen T, Glöckner H, Goffer G, Lederle W. Compact invariant random subgroups. Published online 2026.","apa":"Cohen, T., Glöckner, H., Goffer, G., &#38; Lederle, W. (2026). <i>Compact invariant random subgroups</i>.","mla":"Cohen, Tal, et al. <i>Compact Invariant Random Subgroups</i>. 2026.","short":"T. Cohen, H. Glöckner, G. Goffer, W. Lederle, (2026).","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} }","ieee":"T. Cohen, H. Glöckner, G. Goffer, and W. Lederle, “Compact invariant random subgroups.” 2026.","chicago":"Cohen, Tal, Helge Glöckner, Gil Goffer, and Waltraud Lederle. “Compact Invariant Random Subgroups,” 2026."},"year":"2026","title":"Compact invariant random subgroups","author":[{"full_name":"Cohen, Tal","last_name":"Cohen","first_name":"Tal"},{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"},{"last_name":"Goffer","full_name":"Goffer, Gil","first_name":"Gil"},{"last_name":"Lederle","full_name":"Lederle, Waltraud","first_name":"Waltraud"}],"date_created":"2026-03-18T02:49:44Z","date_updated":"2026-03-18T02:50:18Z","status":"public","type":"preprint","language":[{"iso":"eng"}],"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"65036","external_id":{"arxiv":["arXiv:2603.16022 "]}},{"title":"Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups","doi":"10.1142/s2972458925500029","date_updated":"2026-01-16T10:25:34Z","publisher":"World Scientific Pub Co Pte Ltd","volume":"01","author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"},{"first_name":"Alexander","full_name":"Schmeding, Alexander","last_name":"Schmeding"},{"orcid":"https://orcid.org/0000-0002-9682-9037","last_name":"Suri","full_name":"Suri, Ali","id":"89268","first_name":"Ali"}],"date_created":"2026-01-16T10:22:21Z","year":"2025","intvolume":"         1","page":"383-437","citation":{"apa":"Glöckner, H., Schmeding, A., &#38; Suri, A. (2025). Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. <i>Geometric Mechanics</i>, <i>01</i>(04), 383–437. <a href=\"https://doi.org/10.1142/s2972458925500029\">https://doi.org/10.1142/s2972458925500029</a>","short":"H. Glöckner, A. Schmeding, A. Suri, Geometric Mechanics 01 (2025) 383–437.","bibtex":"@article{Glöckner_Schmeding_Suri_2025, title={Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups}, volume={01}, DOI={<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>}, 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} }","mla":"Glöckner, Helge, et al. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” <i>Geometric Mechanics</i>, vol. 01, no. 04, World Scientific Pub Co Pte Ltd, 2025, pp. 383–437, doi:<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>.","chicago":"Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” <i>Geometric Mechanics</i> 01, no. 04 (2025): 383–437. <a href=\"https://doi.org/10.1142/s2972458925500029\">https://doi.org/10.1142/s2972458925500029</a>.","ieee":"H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups,” <i>Geometric Mechanics</i>, vol. 01, no. 04, pp. 383–437, 2025, doi: <a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>.","ama":"Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. <i>Geometric Mechanics</i>. 2025;01(04):383-437. doi:<a href=\"https://doi.org/10.1142/s2972458925500029\">10.1142/s2972458925500029</a>"},"publication_identifier":{"issn":["2972-4589","2972-4597"]},"quality_controlled":"1","publication_status":"published","issue":"04","article_type":"original","language":[{"iso":"eng"}],"_id":"63649","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","publication":"Geometric Mechanics","type":"journal_article"},{"title":"Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday","volume":35,"date_created":"2026-02-26T17:42:01Z","date_updated":"2026-02-26T17:51:43Z","intvolume":"        35","citation":{"ama":"Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. <i>Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday</i>. Vol 35.; 2025.","chicago":"Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds. <i>Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday</i>. <i>J. Lie Theory</i>. Vol. 35, 2025.","ieee":"J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., <i>Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday</i>, vol. 35, no. 4. 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, &#38; G. Olafsson (Eds.), <i>J. Lie Theory</i> (Vol. 35, Issue 4).","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.” <i>J. Lie Theory</i>, vol. 35, no. 4, 2025.","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} }","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."},"year":"2025","issue":"4","quality_controlled":"1","language":[{"iso":"eng"}],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"64736","status":"public","editor":[{"full_name":"Frahm, Jan","last_name":"Frahm","first_name":"Jan"},{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"},{"last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220","first_name":"Joachim"},{"first_name":"Gestur","last_name":"Olafsson","full_name":"Olafsson, Gestur"}],"publication":"J. Lie Theory","type":"journal_editor"},{"type":"journal_article","publication":"Nonlinear Analysis","abstract":[{"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.","lang":"eng"}],"status":"public","_id":"34807","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"article_number":"113690","language":[{"iso":"eng"}],"quality_controlled":"1","year":"2025","citation":{"apa":"Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>, <i>252</i>, Article 113690. <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>","short":"H. Glöckner, Nonlinear Analysis 252 (2025).","bibtex":"@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms are L^1-regular}, volume={252}, DOI={<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>}, number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025} }","mla":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i>, vol. 252, 113690, 2025, doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","ieee":"H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” <i>Nonlinear Analysis</i>, vol. 252, Art. no. 113690, 2025, doi: <a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>.","chicago":"Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” <i>Nonlinear Analysis</i> 252 (2025). <a href=\"https://doi.org/10.1016/j.na.2024.113690\">https://doi.org/10.1016/j.na.2024.113690</a>.","ama":"Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. <i>Nonlinear Analysis</i>. 2025;252. doi:<a href=\"https://doi.org/10.1016/j.na.2024.113690\">10.1016/j.na.2024.113690</a>"},"intvolume":"       252","date_updated":"2024-12-24T16:58:38Z","author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}],"date_created":"2022-12-22T07:49:32Z","volume":252,"title":"Lie groups of real analytic diffeomorphisms are L^1-regular","doi":"10.1016/j.na.2024.113690"},{"status":"public","type":"preprint","language":[{"iso":"eng"}],"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"external_id":{"arxiv":["2407.05444"]},"_id":"56116","citation":{"ama":"Glöckner H, Grong E, Schmeding A. Boundary values of diffeomorphisms of simple polytopes, and controllability. Published online 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.","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} }","mla":"Glöckner, Helge, et al. <i>Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability</i>. 2024.","short":"H. Glöckner, E. Grong, A. Schmeding, (2024).","apa":"Glöckner, H., Grong, E., &#38; Schmeding, A. (2024). <i>Boundary values of diffeomorphisms of simple polytopes, and controllability</i>."},"year":"2024","title":"Boundary values of diffeomorphisms of simple polytopes, and controllability","date_created":"2024-09-11T22:50:56Z","author":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"},{"last_name":"Grong","full_name":"Grong, Erlend","first_name":"Erlend"},{"first_name":"Alexander","full_name":"Schmeding, Alexander","last_name":"Schmeding"}],"date_updated":"2024-09-11T22:51:26Z"},{"status":"public","type":"preprint","language":[{"iso":"eng"}],"_id":"56583","external_id":{"arxiv":["2410.02909"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","year":"2024","citation":{"bibtex":"@article{Glöckner_Suri_2024, title={L^1-regularity of strong ILB-Lie groups}, author={Glöckner, Helge and Suri, Ali}, year={2024} }","short":"H. Glöckner, A. Suri, (2024).","mla":"Glöckner, Helge, and Ali Suri. <i>L^1-Regularity of Strong ILB-Lie Groups</i>. 2024.","apa":"Glöckner, H., &#38; Suri, A. (2024). <i>L^1-regularity of strong ILB-Lie groups</i>.","ama":"Glöckner H, Suri A. L^1-regularity of strong ILB-Lie groups. Published online 2024.","ieee":"H. Glöckner and A. Suri, “L^1-regularity of strong ILB-Lie groups.” 2024.","chicago":"Glöckner, Helge, and Ali Suri. “L^1-Regularity of Strong ILB-Lie Groups,” 2024."},"title":"L^1-regularity of strong ILB-Lie groups","date_updated":"2024-10-10T15:51:43Z","date_created":"2024-10-10T15:49:15Z","author":[{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"},{"first_name":"Ali","last_name":"Suri","full_name":"Suri, Ali"}]},{"status":"public","type":"journal_article","article_type":"original","_id":"34793","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"},{"_id":"91"}],"user_id":"178","intvolume":"       343","page":"186–232","citation":{"ama":"Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>Journal of Differential Equations</i>. 2023;343:186–232. doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>","chicago":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i> 343 (2023): 186–232. <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">https://doi.org/10.1016/j.jde.2022.10.001</a>.","ieee":"H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” <i>Journal of Differential Equations</i>, vol. 343, pp. 186–232, 2023, doi: <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>.","apa":"Glöckner, H., &#38; Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>Journal of Differential Equations</i>, <i>343</i>, 186–232. <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">https://doi.org/10.1016/j.jde.2022.10.001</a>","short":"H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.","bibtex":"@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }","mla":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i>, vol. 343, 2023, pp. 186–232, doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>."},"publication_identifier":{"issn":["0022-0396"]},"doi":"10.1016/j.jde.2022.10.001","date_updated":"2024-03-22T16:02:32Z","volume":343,"author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"},{"first_name":"Joachim","last_name":"Hilgert","id":"220","full_name":"Hilgert, Joachim"}],"publication":"Journal of Differential Equations","keyword":["22E65","28B05","34A12","34H05","46E30","46E40"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["2007.11277"]},"year":"2023","quality_controlled":"1","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","date_created":"2022-12-21T19:31:13Z"},{"title":"Deep neural networks on diffeomorphism groups for optimal shape reparametrization","doi":"10.1007/s10543-023-00989-05","publisher":"Springer","date_updated":"2024-08-09T08:48:06Z","author":[{"first_name":"Elena","last_name":"Celledoni","full_name":"Celledoni, Elena"},{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"},{"last_name":"Riseth","full_name":"Riseth, Jørgen","first_name":"Jørgen"},{"first_name":"Alexander","last_name":"Schmeding","full_name":"Schmeding, Alexander"}],"date_created":"2022-12-22T07:37:20Z","volume":63,"year":"2023","citation":{"apa":"Celledoni, E., Glöckner, H., Riseth, J., &#38; Schmeding, A. (2023). Deep neural networks on diffeomorphism groups for optimal shape reparametrization. <i>BIT Numerical Mathematics</i>, <i>63</i>, Article 50. <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">https://doi.org/10.1007/s10543-023-00989-05</a>","mla":"Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” <i>BIT Numerical Mathematics</i>, vol. 63, 50, Springer, 2023, doi:<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>.","short":"E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics 63 (2023).","bibtex":"@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>}, number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni, Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023} }","ama":"Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism groups for optimal shape reparametrization. <i>BIT Numerical Mathematics</i>. 2023;63. doi:<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>","chicago":"Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” <i>BIT Numerical Mathematics</i> 63 (2023). <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">https://doi.org/10.1007/s10543-023-00989-05</a>.","ieee":"E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks on diffeomorphism groups for optimal shape reparametrization,” <i>BIT Numerical Mathematics</i>, vol. 63, Art. no. 50, 2023, doi: <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>."},"intvolume":"        63","quality_controlled":"1","article_number":"50","language":[{"iso":"eng"}],"_id":"34803","external_id":{"arxiv":["2207.11141"]},"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"status":"public","type":"journal_article","publication":"BIT Numerical Mathematics"},{"abstract":[{"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.","lang":"eng"}],"publication":"Journal of Convex Analysis","language":[{"iso":"eng"}],"external_id":{"arxiv":["2203.09285"]},"year":"2023","issue":"1","quality_controlled":"1","title":"Diffeomorphism groups of convex polytopes","date_created":"2022-12-22T07:45:13Z","publisher":"Heldermann","status":"public","type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"34805","intvolume":"        30","page":"343-358","citation":{"ama":"Glöckner H. Diffeomorphism groups of convex polytopes. <i>Journal of Convex Analysis</i>. 2023;30(1):343-358.","chicago":"Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal of Convex Analysis</i> 30, no. 1 (2023): 343–58.","ieee":"H. Glöckner, “Diffeomorphism groups of convex polytopes,” <i>Journal of Convex Analysis</i>, vol. 30, no. 1, pp. 343–358, 2023.","apa":"Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. <i>Journal of Convex Analysis</i>, <i>30</i>(1), 343–358.","short":"H. Glöckner, Journal of Convex Analysis 30 (2023) 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} }","mla":"Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal of Convex Analysis</i>, vol. 30, no. 1, Heldermann, 2023, pp. 343–58."},"volume":30,"author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}],"date_updated":"2024-08-09T08:49:17Z"},{"quality_controlled":"1","issue":"1","year":"2023","citation":{"apa":"Glöckner, H., &#38; Tárrega, L. (2023). Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>, <i>33</i>(1), 271–296.","mla":"Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i>, vol. 33, no. 1, Heldermann, 2023, pp. 271–96.","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} }","short":"H. Glöckner, L. Tárrega, Journal of Lie Theory 33 (2023) 271–296.","ama":"Glöckner H, Tárrega L. Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>. 2023;33(1):271-296.","chicago":"Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i> 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 ,” <i>Journal of Lie Theory</i>, vol. 33, no. 1, pp. 271–296, 2023."},"intvolume":"        33","page":"271-296","date_updated":"2024-08-09T08:48:51Z","publisher":"Heldermann","author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"},{"first_name":"Luis","full_name":"Tárrega, Luis","last_name":"Tárrega"}],"date_created":"2022-12-22T07:23:57Z","volume":33,"title":"Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ","type":"journal_article","publication":"Journal of Lie Theory","status":"public","_id":"34801","external_id":{"arxiv":["2210.01246"]},"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"language":[{"iso":"eng"}]},{"year":"2022","page":"138–144","intvolume":"        14","citation":{"short":"H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022) 138–144.","mla":"Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i>, vol. 14, no. 2, 2022, pp. 138–144, doi:<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>.","bibtex":"@article{Glöckner_2022, title={Non-Lie subgroups in Lie groups over local fields of positive characteristic}, volume={14}, DOI={<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>}, number={2}, journal={p-Adic Numbers, Ultrametric Analysis, and Applications}, author={Glöckner, Helge}, year={2022}, pages={138–144} }","apa":"Glöckner, H. (2022). Non-Lie subgroups in Lie groups over local fields of positive characteristic. <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i>, <i>14</i>(2), 138–144. <a href=\"https://doi.org/10.1134/S2070046622020042\">https://doi.org/10.1134/S2070046622020042</a>","ama":"Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic. <i>p-Adic Numbers, Ultrametric Analysis, and Applications</i>. 2022;14(2):138–144. doi:<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>","chicago":"Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i> 14, no. 2 (2022): 138–144. <a href=\"https://doi.org/10.1134/S2070046622020042\">https://doi.org/10.1134/S2070046622020042</a>.","ieee":"H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive characteristic,” <i>p-Adic Numbers, Ultrametric Analysis, and Applications</i>, vol. 14, no. 2, pp. 138–144, 2022, doi: <a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>."},"quality_controlled":"1","publication_identifier":{"issn":["2070-0466"]},"issue":"2","title":"Non-Lie subgroups in Lie groups over local fields of positive characteristic","doi":"10.1134/S2070046622020042","date_updated":"2022-12-21T19:30:25Z","volume":14,"date_created":"2022-12-21T19:27:51Z","author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"}],"status":"public","publication":"p-Adic Numbers, Ultrametric Analysis, and Applications","type":"journal_article","keyword":["20Exx","22Exx","32Cxx"],"article_type":"original","language":[{"iso":"eng"}],"_id":"34792","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178"},{"keyword":["58D15","22E65","26E15","26E20","46E40","46T20","58A05"],"article_type":"original","language":[{"iso":"eng"}],"_id":"34791","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","publication":"Annals of Global Analysis and Geometry","type":"journal_article","title":"Manifolds of mappings on Cartesian products","doi":"10.1007/s10455-021-09816-y","date_updated":"2022-12-21T19:27:09Z","volume":61,"date_created":"2022-12-21T19:24:48Z","author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"},{"first_name":"Alexander","last_name":"Schmeding","full_name":"Schmeding, Alexander"}],"year":"2022","intvolume":"        61","page":"359–398","citation":{"ama":"Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. <i>Annals of Global Analysis and Geometry</i>. 2022;61(2):359–398. doi:<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>","ieee":"H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” <i>Annals of Global Analysis and Geometry</i>, vol. 61, no. 2, pp. 359–398, 2022, doi: <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>.","chicago":"Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” <i>Annals of Global Analysis and Geometry</i> 61, no. 2 (2022): 359–398. <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">https://doi.org/10.1007/s10455-021-09816-y</a>.","short":"H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022) 359–398.","mla":"Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” <i>Annals of Global Analysis and Geometry</i>, vol. 61, no. 2, 2022, pp. 359–398, doi:<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>.","bibtex":"@article{Glöckner_Schmeding_2022, title={Manifolds of mappings on Cartesian products}, volume={61}, DOI={<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>}, number={2}, journal={Annals of Global Analysis and Geometry}, author={Glöckner, Helge and Schmeding, Alexander}, year={2022}, pages={359–398} }","apa":"Glöckner, H., &#38; Schmeding, A. (2022). Manifolds of mappings on Cartesian products. <i>Annals of Global Analysis and Geometry</i>, <i>61</i>(2), 359–398. <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">https://doi.org/10.1007/s10455-021-09816-y</a>"},"publication_identifier":{"issn":["0232-704X"]},"quality_controlled":"1","issue":"2"},{"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"34796","language":[{"iso":"eng"}],"article_type":"original","publication":"Axioms","type":"journal_article","status":"public","abstract":[{"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&times;E is a kR-space.","lang":"eng"}],"volume":11,"date_created":"2022-12-21T20:02:29Z","author":[{"first_name":"Helge","last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge"}],"date_updated":"2022-12-22T07:31:55Z","doi":"10.3390/axioms11050221","title":"Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces","issue":"5","publication_identifier":{"issn":["2075-1680"]},"quality_controlled":"1","intvolume":"        11","citation":{"ieee":"H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” <i>Axioms</i>, vol. 11, no. 5, 2022, doi: <a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>.","chicago":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” <i>Axioms</i> 11, no. 5 (2022). <a href=\"https://doi.org/10.3390/axioms11050221\">https://doi.org/10.3390/axioms11050221</a>.","ama":"Glöckner H. Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. <i>Axioms</i>. 2022;11(5). doi:<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>","bibtex":"@article{Glöckner_2022, title={Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces}, volume={11}, DOI={<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>}, number={5}, journal={Axioms}, author={Glöckner, Helge}, year={2022} }","short":"H. Glöckner, Axioms 11 (2022).","mla":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” <i>Axioms</i>, vol. 11, no. 5, 2022, doi:<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>.","apa":"Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. <i>Axioms</i>, <i>11</i>(5). <a href=\"https://doi.org/10.3390/axioms11050221\">https://doi.org/10.3390/axioms11050221</a>"},"year":"2022"},{"language":[{"iso":"eng"}],"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"external_id":{"arxiv":["2206.11711"]},"_id":"34804","status":"public","abstract":[{"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.","lang":"eng"}],"type":"preprint","publication":"arXiv:2206.11711","title":"Birkhoff decompositions for loop groups with coefficient algebras","author":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"}],"date_created":"2022-12-22T07:42:07Z","date_updated":"2022-12-22T07:44:08Z","citation":{"apa":"Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In <i>arXiv:2206.11711</i>.","bibtex":"@article{Glöckner_2022, title={Birkhoff decompositions for loop groups with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge}, year={2022} }","mla":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022.","short":"H. Glöckner, ArXiv:2206.11711 (2022).","ama":"Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. <i>arXiv:220611711</i>. Published online 2022.","ieee":"H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” <i>arXiv:2206.11711</i>. 2022.","chicago":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022."},"year":"2022"},{"citation":{"ieee":"H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction groups, series and extensions,” <i>Journal of Algebra</i>, vol. 570, pp. 164–214, 2021, doi: <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.","chicago":"Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” <i>Journal of Algebra</i> 570 (2021): 164–214. <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.","ama":"Glöckner H, Willis GA. Decompositions of locally compact contraction groups, series and extensions. <i>Journal of Algebra</i>. 2021;570:164-214. doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>","apa":"Glöckner, H., &#38; Willis, G. A. (2021). Decompositions of locally compact contraction groups, series and extensions. <i>Journal of Algebra</i>, <i>570</i>, 164–214. <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>","mla":"Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” <i>Journal of Algebra</i>, vol. 570, 2021, pp. 164–214, doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.","short":"H. Glöckner, G.A. Willis, Journal of Algebra 570 (2021) 164–214.","bibtex":"@article{Glöckner_Willis_2021, title={Decompositions of locally compact contraction groups, series and extensions}, volume={570}, DOI={<a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>}, journal={Journal of Algebra}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={164–214} }"},"intvolume":"       570","page":"164-214","publication_identifier":{"issn":["0021-8693"]},"doi":"https://doi.org/10.1016/j.jalgebra.2020.11.007","date_updated":"2022-12-21T18:58:44Z","author":[{"first_name":"Helge","last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge"},{"last_name":"Willis","full_name":"Willis, George A.","first_name":"George A."}],"volume":570,"status":"public","type":"journal_article","article_type":"original","_id":"34786","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"year":"2021","quality_controlled":"1","title":"Decompositions of locally compact contraction groups, series and extensions","date_created":"2022-12-21T18:43:08Z","abstract":[{"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.","lang":"eng"}],"publication":"Journal of Algebra","keyword":["Contraction group","Torsion group","Extension","Cocycle","Section","Equivariant cohomology","Abelian group","Nilpotent group","Isomorphism types"],"language":[{"iso":"eng"}]},{"article_type":"original","language":[{"iso":"eng"}],"_id":"34795","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","publication":"Mathematische Nachrichten","type":"journal_article","title":"Direct limits of regular Lie groups","doi":"10.1002/mana.201900073","date_updated":"2022-12-21T20:00:29Z","volume":294,"author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}],"date_created":"2022-12-21T19:57:32Z","year":"2021","page":"74–81","intvolume":"       294","citation":{"chicago":"Glöckner, Helge. “Direct Limits of Regular Lie Groups.” <i>Mathematische Nachrichten</i> 294, no. 1 (2021): 74–81. <a href=\"https://doi.org/10.1002/mana.201900073\">https://doi.org/10.1002/mana.201900073</a>.","ieee":"H. Glöckner, “Direct limits of regular Lie groups,” <i>Mathematische Nachrichten</i>, vol. 294, no. 1, pp. 74–81, 2021, doi: <a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>.","ama":"Glöckner H. Direct limits of regular Lie groups. <i>Mathematische Nachrichten</i>. 2021;294(1):74–81. doi:<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>","apa":"Glöckner, H. (2021). Direct limits of regular Lie groups. <i>Mathematische Nachrichten</i>, <i>294</i>(1), 74–81. <a href=\"https://doi.org/10.1002/mana.201900073\">https://doi.org/10.1002/mana.201900073</a>","short":"H. Glöckner, Mathematische Nachrichten 294 (2021) 74–81.","mla":"Glöckner, Helge. “Direct Limits of Regular Lie Groups.” <i>Mathematische Nachrichten</i>, vol. 294, no. 1, 2021, pp. 74–81, doi:<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>.","bibtex":"@article{Glöckner_2021, title={Direct limits of regular Lie groups}, volume={294}, DOI={<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>}, number={1}, journal={Mathematische Nachrichten}, author={Glöckner, Helge}, year={2021}, pages={74–81} }"},"publication_identifier":{"issn":["0025-584X"]},"quality_controlled":"1","issue":"1"},{"title":"Contraction groups and the big cell for endomorphisms of Lie groups over  local fields","author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"}],"date_created":"2022-12-22T07:47:35Z","date_updated":"2022-12-22T07:48:29Z","citation":{"mla":"Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” <i>ArXiv:2101.02981</i>, 2021.","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} }","short":"H. Glöckner, ArXiv:2101.02981 (2021).","apa":"Glöckner, H. (2021). Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. In <i>arXiv:2101.02981</i>.","ieee":"H. Glöckner, “Contraction groups and the big cell for endomorphisms of Lie groups over  local fields,” <i>arXiv:2101.02981</i>. 2021.","chicago":"Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” <i>ArXiv:2101.02981</i>, 2021.","ama":"Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. <i>arXiv:210102981</i>. Published online 2021."},"year":"2021","language":[{"iso":"eng"}],"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"external_id":{"arxiv":["2101.02981"]},"_id":"34806","status":"public","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."}],"type":"preprint","publication":"arXiv:2101.02981"},{"title":"Locally pro-p contraction groups are nilpotent","doi":"10.1515/crelle-2021-0050","date_updated":"2026-02-27T08:34:58Z","volume":781,"author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"},{"full_name":"Willis, George A.","last_name":"Willis","first_name":"George A."}],"date_created":"2022-12-21T19:17:28Z","year":"2021","intvolume":"       781","page":"85–103","citation":{"ieee":"H. Glöckner and G. A. Willis, “Locally pro-p contraction groups are nilpotent,” <i>Journal für die reine und angewandte Mathematik</i>, vol. 781, pp. 85–103, 2021, doi: <a href=\"https://doi.org/10.1515/crelle-2021-0050\">10.1515/crelle-2021-0050</a>.","chicago":"Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” <i>Journal Für Die Reine Und Angewandte Mathematik</i> 781 (2021): 85–103. <a href=\"https://doi.org/10.1515/crelle-2021-0050\">https://doi.org/10.1515/crelle-2021-0050</a>.","mla":"Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” <i>Journal Für Die Reine Und Angewandte Mathematik</i>, vol. 781, 2021, pp. 85–103, doi:<a href=\"https://doi.org/10.1515/crelle-2021-0050\">10.1515/crelle-2021-0050</a>.","bibtex":"@article{Glöckner_Willis_2021, title={Locally pro-p contraction groups are nilpotent}, volume={781}, DOI={<a href=\"https://doi.org/10.1515/crelle-2021-0050\">10.1515/crelle-2021-0050</a>}, journal={Journal für die reine und angewandte Mathematik}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={85–103} }","short":"H. Glöckner, G.A. Willis, Journal Für Die Reine Und Angewandte Mathematik 781 (2021) 85–103.","apa":"Glöckner, H., &#38; Willis, G. A. (2021). Locally pro-p contraction groups are nilpotent. <i>Journal Für Die Reine Und Angewandte Mathematik</i>, <i>781</i>, 85–103. <a href=\"https://doi.org/10.1515/crelle-2021-0050\">https://doi.org/10.1515/crelle-2021-0050</a>","ama":"Glöckner H, Willis GA. Locally pro-p contraction groups are nilpotent. <i>Journal für die reine und angewandte Mathematik</i>. 2021;781:85–103. doi:<a href=\"https://doi.org/10.1515/crelle-2021-0050\">10.1515/crelle-2021-0050</a>"},"quality_controlled":"1","publication_identifier":{"issn":["0075-4102"]},"keyword":["22D05","22A05","20E18"],"article_type":"original","language":[{"iso":"eng"}],"_id":"34790","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","status":"public","publication":"Journal für die reine und angewandte Mathematik","type":"journal_article"},{"type":"journal_article","publication":"Archivum Mathematicum","status":"public","_id":"34789","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"article_type":"original","keyword":["22A22","22E65","22E67","46T10","47H30","58D15","58H05"],"language":[{"iso":"eng"}],"quality_controlled":"1","publication_identifier":{"issn":["0044-8753"]},"issue":"5","year":"2020","citation":{"apa":"Amiri, H., Glöckner, H., &#38; Schmeding, A. (2020). Lie groupoids of mappings taking values in a Lie groupoid. <i>Archivum Mathematicum</i>, <i>56</i>(5), 307–356. <a href=\"https://doi.org/10.5817/AM2020-5-307\">https://doi.org/10.5817/AM2020-5-307</a>","bibtex":"@article{Amiri_Glöckner_Schmeding_2020, title={Lie groupoids of mappings taking values in a Lie groupoid}, volume={56}, DOI={<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>}, number={5}, journal={Archivum Mathematicum}, author={Amiri, Habib and Glöckner, Helge and Schmeding, Alexander}, year={2020}, pages={307–356} }","short":"H. Amiri, H. Glöckner, A. Schmeding, Archivum Mathematicum 56 (2020) 307–356.","mla":"Amiri, Habib, et al. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” <i>Archivum Mathematicum</i>, vol. 56, no. 5, 2020, pp. 307–356, doi:<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>.","ama":"Amiri H, Glöckner H, Schmeding A. Lie groupoids of mappings taking values in a Lie groupoid. <i>Archivum Mathematicum</i>. 2020;56(5):307–356. doi:<a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>","ieee":"H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” <i>Archivum Mathematicum</i>, vol. 56, no. 5, pp. 307–356, 2020, doi: <a href=\"https://doi.org/10.5817/AM2020-5-307\">10.5817/AM2020-5-307</a>.","chicago":"Amiri, Habib, Helge Glöckner, and Alexander Schmeding. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” <i>Archivum Mathematicum</i> 56, no. 5 (2020): 307–356. <a href=\"https://doi.org/10.5817/AM2020-5-307\">https://doi.org/10.5817/AM2020-5-307</a>."},"intvolume":"        56","page":"307–356","date_updated":"2022-12-21T19:15:59Z","author":[{"full_name":"Amiri, Habib","last_name":"Amiri","first_name":"Habib"},{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"},{"last_name":"Schmeding","full_name":"Schmeding, Alexander","first_name":"Alexander"}],"date_created":"2022-12-21T19:13:24Z","volume":56,"title":"Lie groupoids of mappings taking values in a Lie groupoid","doi":"10.5817/AM2020-5-307"}]