Polar decomposition for p-adic symmetric spaces
| dc.creator | Benoist, Yves | |
| dc.creator | Oh, Hee | |
| dc.date | 2006-12-12 | |
| dc.date.accessioned | 2026-07-07T06:36:08Z | |
| dc.date.available | 2026-07-07T06:36:08Z | |
| dc.description | Let G be the group of k-points of a connected reductive k-group and H a symmetric subgroup associated to an involution s of G. We prove a polar decomposition G=KAH for the symmetric space G/H over any local field k of characteristic not 2. Here K is a compact subset of G and A is a finite union of the groups of k-points of maximal (k,s)-split tori, one for each H-conjugacy class. This decomposition is analogous to the well-known polar decomposition G=KAH for a real symmetric space G/H. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612305 | |
| dc.identifier | http://arxiv.org/abs/math/0612305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99989 | |
| dc.subject | Group Theory | |
| dc.subject | Number Theory | |
| dc.subject | 20G25 | |
| dc.title | Polar decomposition for p-adic symmetric spaces | |
| dc.type | text |