An analogue of the Cartan decomposition for p-adic reductive symmetric spaces
| dc.creator | Delorme, Patrick | |
| dc.creator | Secherre, Vincent | |
| dc.date | 2006-12-19 | |
| dc.date.accessioned | 2026-07-07T07:36:03Z | |
| dc.date.available | 2026-07-07T07:36:03Z | |
| dc.description | Let F be a non Archimedean locally compact field of residue characteristic different from 2, let G be a connected reductive group defined over F, let s be an involutive F-automorphism of G and H an open F-subgroup of the fixed points group of s. We denote by G(F) (resp. H(F)) the group of F-points of G (resp. H). In this paper, we obtain an analogue of the Cartan decomposition for the reductive symmetric space G(F)/H(F). More precisely, we obtain a decomposition of G(F) as a union of H(F)-cosets which is related to the H(F)-conjugacy classes of maximal s-anti-invariant F-split tori in G. When G is F-split, we get a more precise result, involving the stabilizer of a special point of the Bruhat-Tits building of G over F. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612545 | |
| dc.identifier | http://arxiv.org/abs/math/0612545 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120295 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.subject | 22E50 | |
| dc.title | An analogue of the Cartan decomposition for p-adic reductive symmetric spaces | |
| dc.type | text |