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33 Publications
2006 | Journal Article | LibreCat-ID: 64695
Glöckner, Helge. “Fundamental Problems in the Theory of Infinite-Dimensional Lie Groups.” The Journal of Geometry and Symmetry in Physics, vol. 5, 2006, pp. 24–35.
LibreCat
2005 | Journal Article | LibreCat-ID: 64700
Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional Lie Groups Are Smooth.” Journal of Functional Analysis, vol. 228, no. 2, 2005, pp. 419–444, doi:10.1016/j.jfa.2005.06.023.
LibreCat
| DOI
2005 | Journal Article | LibreCat-ID: 64702
Glöckner, Helge. “Conveniently Hölder Homomorphisms Are Smooth in the Convenient Sense.” Annals of Global Analysis and Geometry, vol. 27, no. 3, 2005, pp. 227–255, doi:10.1007/s10455-005-0040-z.
LibreCat
| DOI
2005 | Journal Article | LibreCat-ID: 64703
Glöckner, Helge. “Diff(R^n) as a Milnor-Lie Group.” Mathematische Nachrichten, vol. 278, no. 9, 2005, pp. 1025–1032, doi:10.1002/mana.200310288.
LibreCat
| DOI
2005 | Journal Article | LibreCat-ID: 64699
Glöckner, Helge. “Fundamentals of Direct Limit Lie Theory.” Compositio Mathematica, vol. 141, no. 6, 2005, pp. 1551–1577, doi:10.1112/S0010437X05001491.
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| DOI
2004 | Book Chapter | LibreCat-ID: 64708
Glöckner, Helge. “Lie Groups of Germs of Analytic Mappings.” Infinite Dimensional Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists and Mathematicians at IRMA, Strasbourg, France, May 2004., Berlin: de Gruyter, 2004, pp. 1–16.
LibreCat
2004 | Journal Article | LibreCat-ID: 64707
Bertram, W., et al. “Differential Calculus over General Base Fields and Rings.” Expositiones Mathematicae, vol. 22, no. 3, 2004, pp. 213–282, doi:10.1016/S0723-0869(04)80006-9.
LibreCat
| DOI
2003 | Journal Article | LibreCat-ID: 64712
Glöckner, Helge, and Karl-Hermann Neeb. “Banach-Lie Quotients, Enlargibility, and Universal Complexifications.” Journal Für Die Reine Und Angewandte Mathematik, vol. 560, 2003, pp. 1–28, doi:10.1515/crll.2003.056.
LibreCat
| DOI
2003 | Journal Article | LibreCat-ID: 64709
Glöckner, Helge. “Direct Limit Lie Groups and Manifolds.” Journal of Mathematics of Kyoto University, vol. 43, no. 1, 2003, pp. 1–26, doi:10.1215/kjm/1250283739.
LibreCat
| DOI
2002 | Book Chapter | LibreCat-ID: 64716
Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness Restrictions.” Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15, 2000, Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002, pp. 43–59.
LibreCat
2002 | Journal Article | LibreCat-ID: 64717
Glöckner, Helge. “Real and P-Adic Lie Algebra Functors on the Category of Topological Groups.” Pacific Journal of Mathematics, vol. 203, no. 2, 2002, pp. 321–368, doi:10.2140/pjm.2002.203.321.
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 64714
Glöckner, Helge. “Lie Group Structures on Quotient Groups and Universal Complexifications for Infinite-Dimensional Lie Groups.” Journal of Functional Analysis, vol. 194, no. 2, 2002, pp. 347–409, doi:10.1006/jfan.2002.3942.
LibreCat
| DOI
2002 | Journal Article | LibreCat-ID: 64721
Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” Studia Mathematica, vol. 153, no. 2, 2002, pp. 147–177, doi:10.4064/sm153-2-4.
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| DOI