Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-1745
Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: Differentiability of continuous homomorphisms between smooth loops
Authors: Bödi, Richard
Kramer, Linus
DOI: 10.21256/zhaw-1745
10.1007/BF03323137
Published in: Results in Mathematics
Volume(Issue): 25
Issue: 1-2
Pages: 13
Pages to: 19
Issue Date: Mar-1994
Publisher / Ed. Institution: Springer
Publisher / Ed. Institution: Basel
ISSN: 1420-9012
1422-6383
Language: English
Subjects: Loops; Morphisms; Continuity; Differentiability; Smoothness
Subject (DDC): 500: Natural sciences and mathematics
Abstract: It is a well-known fact that a continuous homomorphism between Lie groups is analytic. We prove a similar result (Thm. 1.8) for continuous homomorphisms of differentiable left or right loops in section 1 of this paper. Section 2 deals with images and kernels of such homomorphisms. Again, the results obtained are quite analogous to the Lie group case. The paper ends with applications of Theorem 1.8. For example, it turns out that the group of continuous automorphisms of a smooth generalized polygon is a Lie transformation group with respect to the compact-open topology.
Further description: Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch)
URI: https://digitalcollection.zhaw.ch/handle/11475/3266
Fulltext version: Published version
License (according to publishing contract): Licence according to publishing contract
Departement: School of Engineering
Appears in Collections:Publikationen School of Engineering



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