The Largest Irreducible Representations of Simple Groups
Representation Theory
2014-02-26 v1
Abstract
Answering a question of I. M. Isaacs, we show that the largest degree of irreducible complex representations of any finite non-abelian simple group can be bounded in terms of the smaller degrees. We also study the asymptotic behavior of this largest degree for finite groups of Lie type. Moreover, we show that for groups of Lie type, the Steinberg character has largest degree among all unipotent characters.
Cite
@article{arxiv.1010.5628,
title = {The Largest Irreducible Representations of Simple Groups},
author = {Michael Larsen and Gunter Malle and Pham Huu Tiep},
journal= {arXiv preprint arXiv:1010.5628},
year = {2014}
}
Comments
34 pages