A classification of subsystems of a root system
| dc.creator | Oshima, Toshio | |
| dc.date | 2006-11-29 | |
| dc.date | 2007-06-14 | |
| dc.date.accessioned | 2026-07-07T08:09:57Z | |
| dc.date.available | 2026-07-07T08:09:57Z | |
| dc.description | We classify isomorphic classes of the homomorphisms of a root system $Ξ$ to a root system $Σ$ which do not change Cartan integers. We examine several types of isomorphic classes defined by the Weyl group of $Σ$, that of $Ξ$ and the automorphisms of $Σ$ or $Ξ$ etc. We also distinguish the subsystem generated by a subset of a fundamental system. We introduce the concept of the dual pair for root systems which helps to study the action of the outer automorphism of $Ξ$ on the homomorphisms. | |
| dc.description | 47 pages, corrected an error in the Table | |
| dc.identifier | https://arxiv.org/abs/math/0611904 | |
| dc.identifier | http://arxiv.org/abs/math/0611904 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131700 | |
| dc.subject | Representation Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 17B20 | |
| dc.title | A classification of subsystems of a root system | |
| dc.type | text |