Parametrizing nilpotent orbits via Bruhat-Tits theory
| dc.creator | DeBacker, Stephen | |
| dc.date | 2004-10-25 | |
| dc.date.accessioned | 2026-07-07T05:13:41Z | |
| dc.date.available | 2026-07-07T05:13:41Z | |
| dc.description | Let $k$ denote a field with nontrivial discrete valuation. We assume that $k$ is complete with perfect residue field. Let $G$ be the group of $k$-rational points of a reductive, linear algebraic group defined over $k$. Let $\gg$ denote the Lie algebra of $G$. Fix $r \in \R$. Subject to some restrictions, we show that the set of distinguished degenerate Moy-Prasad cosets of depth $r$ (up to an equivalence relation) parametrizes the nilpotent orbits in $\gg$. | |
| dc.description | 38 pages published version | |
| dc.identifier | https://arxiv.org/abs/math/0410533 | |
| dc.identifier | http://arxiv.org/abs/math/0410533 | |
| dc.identifier | Ann. of Math. (2), Vol. 156 (2002), no. 1, 295--332 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73000 | |
| dc.subject | Group Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 20G25 (primary) 17B45, 20G15, 22E50 (secondary) | |
| dc.title | Parametrizing nilpotent orbits via Bruhat-Tits theory | |
| dc.type | text |