Subfield symmetric spaces for finite special linear groups
| dc.creator | Shoji, Toshiaki | |
| dc.creator | Sorlin, Karine | |
| dc.date | 2004-03-02 | |
| dc.date.accessioned | 2026-07-07T05:05:51Z | |
| dc.date.available | 2026-07-07T05:05:51Z | |
| dc.description | Let $G$ be a finite reductive group defined over a finite field $F_q$. In the case where $G$ is a special linear group, we compute the multiplicities of irreducible characters of $G(F_{q^2})$ with the character of $G(F_{q^2})$ induced from the trivial character of $G(F_q)$. We discuss the relationship between these multiplicities with the theory of Shintani descent for finite reductive groups in general. We also give some formula concerning the decomposition of the character of $G(F_{q^r})$ induced from the trivial character of $G(F_q)$ for reductive groups $G$ with any positive integer $r$. | |
| dc.description | 33pages | |
| dc.identifier | https://arxiv.org/abs/math/0403039 | |
| dc.identifier | http://arxiv.org/abs/math/0403039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70326 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05, 20G40 | |
| dc.title | Subfield symmetric spaces for finite special linear groups | |
| dc.type | text |