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https://doi.org/10.21256/zhaw-1745| Publikationstyp: | Beitrag in wissenschaftlicher Zeitschrift |
| Art der Begutachtung: | Peer review (Publikation) |
| Titel: | Differentiability of continuous homomorphisms between smooth loops |
| Autor/-in: | Bödi, Richard Kramer, Linus |
| DOI: | 10.21256/zhaw-1745 10.1007/BF03323137 |
| Erschienen in: | Results in Mathematics |
| Band(Heft): | 25 |
| Heft: | 1-2 |
| Seite(n): | 13 |
| Seiten bis: | 19 |
| Erscheinungsdatum: | Mär-1994 |
| Verlag / Hrsg. Institution: | Springer |
| Verlag / Hrsg. Institution: | Basel |
| ISSN: | 1420-9012 1422-6383 |
| Sprache: | Englisch |
| Schlagwörter: | Loops; Morphisms; Continuity; Differentiability; Smoothness |
| Fachgebiet (DDC): | 510: Mathematik |
| Zusammenfassung: | 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. |
| Weitere Angaben: | Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch) |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/3266 |
| Volltext Version: | Publizierte Version |
| Lizenz (gemäss Verlagsvertrag): | Lizenz gemäss Verlagsvertrag |
| Departement: | School of Engineering |
| Enthalten in den Sammlungen: | Publikationen School of Engineering |
Dateien zu dieser Ressource:
| Datei | Beschreibung | Größe | Format | |
|---|---|---|---|---|
| 1994_Bödi_Differentiability of continuous homomorphisms between smooth loops_Results in Mathematics.PDF | 765.85 kB | Adobe PDF |  Öffnen/Anzeigen |
Zur Langanzeige
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.
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