Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
33 Publications
2023 | Journal Article | LibreCat-ID: 34793
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.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34791
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.
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 34789
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.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 64756
Walter, Boris. “Weighted Diffeomorphism Groups of Riemannian Manifolds.” Indagationes Mathematicae, vol. 30, no. 4, 2019, pp. 669–705, doi:10.1016/j.indag.2019.03.003.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 64630
Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their Left Uniformity.” Canadian Journal of Mathematics, vol. 71, no. 1, 2019, pp. 131–152, doi:10.4153/CJM-2017-048-5.
LibreCat
| DOI
2017 | Book Chapter | LibreCat-ID: 64768
Nikitin, Natalie. “Differentiability along One-Parameter Subgroups Compared to Differentiability on Lie Groups as Manifolds.” 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the Occasion of His 85th Birthday, Warsaw: Polish Academy of Sciences, Institute of Mathematics, 2017, pp. 363–373, doi:10.4064/bc113-0-17.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 64634
Glöckner, Helge. “Completeness of Locally K_ω-Groups and Related Infinite-Dimensional Lie Groups.” Topology and Its Applications, vol. 228, 2017, pp. 277–284, doi:10.1016/j.topol.2017.05.007.
LibreCat
| DOI
2015 | Journal Article | LibreCat-ID: 64752
Schmeding, A. “The Diffeomorphism Group of a Non-Compact Orbifold.” Dissertationes Mathematicae, vol. 507, 2015, p. 179, doi:10.4064/dm507-0-1.
LibreCat
| DOI
2014 | Book Chapter | LibreCat-ID: 64751
Schmeding, Alexander. “Orbifold Diffeomorphism Groups.” Geometric Methods in Physics. XXXII Workshop, Białowie\.Za, Poland, June 30 – July 6, 2013. Selected Papers, Cham: Birkhäuser/Springer, 2014, pp. 153–162, doi:10.1007/978-3-319-06248-8_13.
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 64754
Walter, Boris. “Weighted Diffeomorphism Groups of Banach Spaces and Weighted Mapping Groups.” Dissertationes Mathematicae, vol. 484, 2012, p. 126, doi:10.4064/dm484-0-1.
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 64673
Glöckner, Helge, and Bastian Langkamp. “Topological Algebras of Rapidly Decreasing Matrices and Generalizations.” Topology and Its Applications, vol. 159, no. 9, 2012, pp. 2420–2422, doi:10.1016/j.topol.2011.09.048.
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 64671
Glöckner, Helge, and Karl-Hermann Neeb. “When Unit Groups of Continuous Inverse Algebras Are Regular Lie Groups.” Studia Mathematica, vol. 211, no. 2, 2012, pp. 95–109, doi:10.4064/sm211-2-1.
LibreCat
| DOI
2011 | Book Chapter | LibreCat-ID: 64675
Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups.” Developments and Trends in Infinite-Dimensional Lie Theory, Basel: Birkhäuser, 2011, pp. 243–280, doi:10.1007/978-0-8176-4741-4_8.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 64746
Dahmen, Rafael. “Analytic Mappings between LB-Spaces and Applications in Infinite-Dimensional Lie Theory.” Mathematische Zeitschrift, vol. 266, no. 1, 2010, pp. 115–140, doi:10.1007/s00209-009-0557-0.
LibreCat
| DOI
2010 | Journal Article | LibreCat-ID: 64679
Glöckner, Helge, et al. “Final Group Topologies, Kac-Moody Groups and Pontryagin Duality.” Israel Journal of Mathematics, vol. 177, 2010, pp. 49–101, doi:10.1007/s11856-010-0038-5.
LibreCat
| DOI
2008 | Journal Article | LibreCat-ID: 64684
Glöckner, Helge. “Solutions to Open Problems in Neeb’s Recent Survey on Infinite-Dimensional Lie Groups.” Geometriae Dedicata, vol. 135, 2008, pp. 71–86, doi:10.1007/s10711-008-9263-z.
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 64690
Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups Compared to Direct Limits in Related Categories.” Journal of Functional Analysis, vol. 245, no. 1, 2007, pp. 19–61, doi:10.1016/j.jfa.2006.12.018.
LibreCat
| DOI
2007 | Journal Article | LibreCat-ID: 64688
Glöckner, Helge. “Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma.” Journal of Lie Theory, vol. 17, no. 4, 2007, pp. 899–902.
LibreCat
2006 | Journal Article | LibreCat-ID: 64697
Glöckner, Helge. “Discontinuous Non-Linear Mappings on Locally Convex Direct Limits.” Publicationes Mathematicae Debrecen, vol. 68, no. 1–2, 2006, pp. 1–13, doi:10.5486/pmd.2006.2714.
LibreCat
| DOI
2006 | Journal Article | LibreCat-ID: 64698
Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic Structure.” Forum Mathematicum, vol. 18, no. 1, 2006, pp. 45–84, doi:10.1515/FORUM.2006.003.
LibreCat
| DOI