Symmetric Systems and their Applications to Root Systems Extended by Abelian Groups
| dc.creator | Hofmann, Georg W. | |
| dc.date | 2007-12-02 | |
| dc.date | 2007-12-05 | |
| dc.date.accessioned | 2026-07-07T08:47:07Z | |
| dc.date.available | 2026-07-07T08:47:07Z | |
| dc.description | We investigate the class of root systems R obtained by extending an irreducible root system by a torsion-free group G. In this context there is a Weyl group W and a group U with the presentation by conjugation. We show under additional hypotheses that the kernel of the natural homomorphism from U to W is isomorphic to the kernel of the homomorphism from the abelianization of U to that of W. For this we introduce the concept of a symmetric system, a discrete version of the concept of a symmetric space. Mathematics Subject Classification 2000: 20F55, 17B65, 17B67, 22E65, 22E40. Key Words and Phrases: Weyl group, root system, presentation by conjugation, extended affine Weyl group (EAWeG), extended affine root system (EARS), irreducible root system extended by an abelian group. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/0712.0104 | |
| dc.identifier | http://arxiv.org/abs/0712.0104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143485 | |
| dc.subject | Group Theory | |
| dc.title | Symmetric Systems and their Applications to Root Systems Extended by Abelian Groups | |
| dc.type | text |