Tensor products of unipotent characters of general linear groups over finite fields
Representation Theory
2012-04-13 v1
Abstract
We study multiplicities of unipotent characters in tensor products of unipotent characters of GL(n,q). We prove that these multiplicities are polynomials in q with non-negative integer coefficients. We study the degree of these polynomials and give a necessary and sufficient condition in terms of the representation theory of symmetric groups for these polynomials to be non-zero.
Keywords
Cite
@article{arxiv.1204.2690,
title = {Tensor products of unipotent characters of general linear groups over finite fields},
author = {Emmanuel Letellier},
journal= {arXiv preprint arXiv:1204.2690},
year = {2012}
}