On the unipotent support of character sheaves
| dc.creator | Geck, Meinolf | |
| dc.creator | Hézard, David | |
| dc.date | 2007-10-01 | |
| dc.date | 2008-01-21 | |
| dc.date.accessioned | 2026-07-07T08:55:13Z | |
| dc.date.available | 2026-07-07T08:55:13Z | |
| dc.description | Let $G$ be a connected reductive group over $F_q$, where $q$ is large enough and the center of $G$ is connected. We are concerned with Lusztig's theory of {\em character sheaves}, a geometric version of the classical character theory of the finite group $G(F_q)$. We show that under a certain technical condition, the restriction of a character sheaf to its {\em unipotent support} (as defined by Lusztig) is either zero or an irreducible local system. As an application, the generalized Gelfand-Graev characters are shown to form a $\Z$-basis of the $\Z$-module of unipotently supported virtual characters of $G(F_q)$ (Kawanaka's conjecture). | |
| dc.description | 11 pages; to appear in Osaka J. Math. The final version has an additional reference | |
| dc.identifier | https://arxiv.org/abs/0710.0296 | |
| dc.identifier | http://arxiv.org/abs/0710.0296 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146202 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C15 | |
| dc.title | On the unipotent support of character sheaves | |
| dc.type | text |