On induction of class functions
Representation Theory
2020-03-06 v1
Abstract
Let G be a connected reductive group defined over a finite field F_q and let L be the Levi subgroup (defined over F_q) of a parabolic subgroup P of G. We define a linear map from class functions on L(F_q) to class functions on G(F_q). This map is independent of the choice of P. We show that for large q this map coincides with the known cohomological induction (whose definition involves a choice of P).
Cite
@article{arxiv.2003.02715,
title = {On induction of class functions},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:2003.02715},
year = {2020}
}
Comments
11 pages