Kac-Moody groups: split and relative theories. Lattices
| dc.creator | Remy, Bertrand | |
| dc.date | 2002-11-17 | |
| dc.date.accessioned | 2026-07-07T04:53:00Z | |
| dc.date.available | 2026-07-07T04:53:00Z | |
| dc.description | In this survey article, we recall some facts about split Kac-Moody groups as defined by J. Tits, describe their main properties and then propose an analogue of Borel-Tits theory for a non-split version of them. The main result is a Galois descent theorem, i.e. the persistence of a nice combinatorial structure after passing to rational points. We are also interested in the geometric point of view, namely the production of new buildings admitting (nonuniform) lattices. | |
| dc.description | 45 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/math/0211258 | |
| dc.identifier | http://arxiv.org/abs/math/0211258 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65685 | |
| dc.subject | Group Theory | |
| dc.subject | 22E20, 51E24, 17B67, 22F50, 22E40 | |
| dc.title | Kac-Moody groups: split and relative theories. Lattices | |
| dc.type | text |