A finite presentation for extended affine Weyl groups (simply laced types)
| dc.creator | Azam, Saeid | |
| dc.creator | Shahsanaei, Valiollah | |
| dc.date | 2006-04-18 | |
| dc.date | 2006-07-11 | |
| dc.date.accessioned | 2026-07-07T07:11:03Z | |
| dc.date.available | 2026-07-07T07:11:03Z | |
| dc.description | Extended affine Weyl groups are the Weyl groups of extended affine root systems. Finite presentations for extended affine Weyl groups are known only for nullities $\leq 2$, where for nullity 2 there is only one known such presentation. We give a finite presentation for the class of simply laced extended affine Weyl groups. Our presentation is nullity free if rank $>1$ and for rank 1 it is given for nullities $\leq 3$. The generators and relations are given uniformly for all types, and for a given nullity they can be read from the corresponding finite Cartan matrix and the semilattice involved in the structure of the root system. | |
| dc.description | 18 pages, replacement of sections, corrections of typoes, modification of some statements, the abstract and introduction is also modified | |
| dc.identifier | https://arxiv.org/abs/math/0604401 | |
| dc.identifier | http://arxiv.org/abs/math/0604401 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111613 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 20F55; 17B67 | |
| dc.title | A finite presentation for extended affine Weyl groups (simply laced types) | |
| dc.type | text |