Non-unipotent representations and categorical centres
Representation Theory
2016-12-20 v2
Abstract
Let G be a connected reductive group defined over a finite field F_q. We give a parametrization of the irreducible representations of G(F_q) in terms of (twisted) categorical centres of various monoidal categories associated to G. (Results of this type were known earlier for unipotent representations. Analogous results for the parametrization of character sheaves on G were also known earlier.)
Cite
@article{arxiv.1611.08296,
title = {Non-unipotent representations and categorical centres},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1611.08296},
year = {2016}
}
Comments
73 pages. arXiv admin note: text overlap with arXiv:1506.04598