Differentiability of continuous homomorphisms between smooth loops

Bödi, Richard; Kramer, Linus

doi:10.21256/zhaw-1745

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
Page(s):	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):	510: 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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Bödi, R., & Kramer, L. (1994). Differentiability of continuous homomorphisms between smooth loops. Results in Mathematics, 25(1-2), 13–19. https://doi.org/10.21256/zhaw-1745

Bödi, R. and Kramer, L. (1994) ‘Differentiability of continuous homomorphisms between smooth loops’, Results in Mathematics, 25(1-2), pp. 13–19. Available at: https://doi.org/10.21256/zhaw-1745.

R. Bödi and L. Kramer, “Differentiability of continuous homomorphisms between smooth loops,” Results in Mathematics, vol. 25, no. 1-2, pp. 13–19, Mar. 1994, doi: 10.21256/zhaw-1745.

BÖDI, Richard und Linus KRAMER, 1994. Differentiability of continuous homomorphisms between smooth loops. Results in Mathematics. März 1994. Bd. 25, Nr. 1-2, S. 13–19. DOI 10.21256/zhaw-1745

Bödi, Richard, and Linus Kramer. 1994. “Differentiability of Continuous Homomorphisms between Smooth Loops.” Results in Mathematics 25 (1-2): 13–19. https://doi.org/10.21256/zhaw-1745.

Bödi, Richard, and Linus Kramer. “Differentiability of Continuous Homomorphisms between Smooth Loops.” Results in Mathematics, vol. 25, no. 1-2, Mar. 1994, pp. 13–19, https://doi.org/10.21256/zhaw-1745.