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33 Publications
2023 | Journal Article | LibreCat-ID: 34793
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
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34791
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
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 34789
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
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 64756
Walter, B. (2019). Weighted diffeomorphism groups of Riemannian manifolds. Indagationes Mathematicae, 30(4), 669–705. https://doi.org/10.1016/j.indag.2019.03.003
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| DOI
2019 | Journal Article | LibreCat-ID: 64630
Glöckner, H. (2019). Completeness of infinite-dimensional Lie groups in their left uniformity. Canadian Journal of Mathematics, 71(1), 131–152. https://doi.org/10.4153/CJM-2017-048-5
LibreCat
| DOI
2017 | Book Chapter | LibreCat-ID: 64768
Nikitin, N. (2017). Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds. In 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday (pp. 363–373). Warsaw: Polish Academy of Sciences, Institute of Mathematics. https://doi.org/10.4064/bc113-0-17
LibreCat
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2017 | Journal Article | LibreCat-ID: 64634
Glöckner, H. (2017). Completeness of locally k_ω-groups and related infinite-dimensional Lie groups. Topology and Its Applications, 228, 277–284. https://doi.org/10.1016/j.topol.2017.05.007
LibreCat
| DOI
2015 | Journal Article | LibreCat-ID: 64752
Schmeding, A. (2015). The diffeomorphism group of a non-compact orbifold. Dissertationes Mathematicae, 507, 179. https://doi.org/10.4064/dm507-0-1
LibreCat
| DOI
2014 | Book Chapter | LibreCat-ID: 64751
Schmeding, A. (2014). Orbifold diffeomorphism groups. In Geometric methods in physics. XXXII workshop, Białowie\.za, Poland, June 30 – July 6, 2013. Selected papers (pp. 153–162). Cham: Birkhäuser/Springer. https://doi.org/10.1007/978-3-319-06248-8_13
LibreCat
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2012 | Journal Article | LibreCat-ID: 64754
Walter, B. (2012). Weighted diffeomorphism groups of Banach spaces and weighted mapping groups. Dissertationes Mathematicae, 484, 126. https://doi.org/10.4064/dm484-0-1
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2012 | Journal Article | LibreCat-ID: 64673
Glöckner, H., & Langkamp, B. (2012). Topological algebras of rapidly decreasing matrices and generalizations. Topology and Its Applications, 159(9), 2420–2422. https://doi.org/10.1016/j.topol.2011.09.048
LibreCat
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2012 | Journal Article | LibreCat-ID: 64671
Glöckner, H., & Neeb, K.-H. (2012). When unit groups of continuous inverse algebras are regular Lie groups. Studia Mathematica, 211(2), 95–109. https://doi.org/10.4064/sm211-2-1
LibreCat
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2011 | Book Chapter | LibreCat-ID: 64675
Glöckner, H. (2011). Direct limits of infinite-dimensional Lie groups. In Developments and trends in infinite-dimensional Lie theory (pp. 243–280). Basel: Birkhäuser. https://doi.org/10.1007/978-0-8176-4741-4_8
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 64746
Dahmen, R. (2010). Analytic mappings between LB-spaces and applications in infinite-dimensional Lie theory. Mathematische Zeitschrift, 266(1), 115–140. https://doi.org/10.1007/s00209-009-0557-0
LibreCat
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2010 | Journal Article | LibreCat-ID: 64679
Glöckner, H., Gramlich, R., & Hartnick, T. (2010). Final group topologies, Kac-Moody groups and Pontryagin duality. Israel Journal of Mathematics, 177, 49–101. https://doi.org/10.1007/s11856-010-0038-5
LibreCat
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2008 | Journal Article | LibreCat-ID: 64684
Glöckner, H. (2008). Solutions to open problems in Neeb’s recent survey on infinite-dimensional Lie groups. Geometriae Dedicata, 135, 71–86. https://doi.org/10.1007/s10711-008-9263-z
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 64690
Glöckner, H. (2007). Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories. Journal of Functional Analysis, 245(1), 19–61. https://doi.org/10.1016/j.jfa.2006.12.018
LibreCat
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2007 | Journal Article | LibreCat-ID: 64688
Glöckner, H. (2007). Simplified proofs for the pro-Lie group theorem and the one-parameter subgroup lifting lemma. Journal of Lie Theory, 17(4), 899–902.
LibreCat
2006 | Journal Article | LibreCat-ID: 64697
Glöckner, H. (2006). Discontinuous non-linear mappings on locally convex direct limits. Publicationes Mathematicae Debrecen, 68(1–2), 1–13. https://doi.org/10.5486/pmd.2006.2714
LibreCat
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2006 | Journal Article | LibreCat-ID: 64698
Glöckner, H. (2006). Every smooth p-adic Lie group admits a compatible analytic structure. Forum Mathematicum, 18(1), 45–84. https://doi.org/10.1515/FORUM.2006.003
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| DOI