Unipotent variety in the group compactification
| dc.creator | He, Xuhua | |
| dc.date | 2004-10-07 | |
| dc.date | 2005-09-22 | |
| dc.date.accessioned | 2026-07-07T06:18:39Z | |
| dc.date.available | 2026-07-07T06:18:39Z | |
| dc.description | The unipotent variety of a reductive algebraic group $G$ plays an important role in the representation theory. In this paper, we will consider the closure $\bar{\Cal U}$ of the unipotent variety in the De Concini-Procesi compactification $\bar{G}$ of a connected simple algebraic group $G$. We will prove that $\bar{\Cal U}-\Cal U$ is a union of some $G$-stable pieces introduced by Lusztig in \cite{L4}. This was first conjectured by Lusztig. We will also give an explicit description of $\bar{\Cal U}$. It turns out that similar results hold for the closure of any Steinberg fiber in $\bar{G}$. | |
| dc.description | 21 pages. Final version. To appear in Adv. in Math | |
| dc.identifier | https://arxiv.org/abs/math/0410199 | |
| dc.identifier | http://arxiv.org/abs/math/0410199 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94808 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G15 | |
| dc.title | Unipotent variety in the group compactification | |
| dc.type | text |