The $G$-stable pieces of the wonderful compactification
| dc.creator | He, Xuhua | |
| dc.date | 2004-12-15 | |
| dc.date | 2006-02-01 | |
| dc.date.accessioned | 2026-07-07T06:39:10Z | |
| dc.date.available | 2026-07-07T06:39:10Z | |
| dc.description | Let $G$ be a connected, simple algebraic group over an algebraically closed field. There is a partition of the wonderful compactification $\bar{G}$ of $G$ into finite many $G$-stable pieces, which were introduced by Lusztig. In this paper, we will investigate the closure of any $G$-stable piece in $\bar{G}$. We will show that the closure is a disjoint union of some $G$-stable pieces, which was first conjectured by Lusztig. We will also prove the existence of cellular decomposition if the closure contains finitely many $G$-orbits. | |
| dc.description | 22 pages. Some corrections. Final version | |
| dc.identifier | https://arxiv.org/abs/math/0412302 | |
| dc.identifier | http://arxiv.org/abs/math/0412302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100983 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G15 | |
| dc.title | The $G$-stable pieces of the wonderful compactification | |
| dc.type | text |