Modular principal series representations
| dc.creator | Geck, Meinolf | |
| dc.date | 2006-03-02 | |
| dc.date | 2006-06-02 | |
| dc.date.accessioned | 2026-07-07T07:06:27Z | |
| dc.date.available | 2026-07-07T07:06:27Z | |
| dc.description | Recently, there has been considerable progress in classifying the irreducible representations of Iwahori--Hecke algebras at roots of unity. Here, we present an application of these results to $\ell$-modular Harish--Chandra series for a finite group of Lie type $G(q)$. Under some mild condition on $\ell$, we show that the $\ell$-modular principal series representations of $G(q)$ are naturally parametrized by a {\em subset} of the set of complex irreducible characters of the Weyl group of $G(q)$. We also show that this subset is ``generic'' in a precise sense. | |
| dc.description | 16 pages; the revised version contains additional references; the second revision corrects minor errors; to appear in IMRN (2006) | |
| dc.identifier | https://arxiv.org/abs/math/0603046 | |
| dc.identifier | http://arxiv.org/abs/math/0603046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110029 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C33;20C08 | |
| dc.title | Modular principal series representations | |
| dc.type | text |