Supercharacter theory via the group determinant
Representation Theory
2020-03-31 v1
Abstract
Ferdinand Georg Frobenius is generally considered the creator of character theory of finite groups. This achievement came from the study of the group determinant, which is the determinant of a matrix coming from the regular representation. In this paper, we generalize several of Frobenius' results about the group determinant and use them find a new formulation of supercharacter theory in terms of factorizations of the group determinant.
Cite
@article{arxiv.2003.12695,
title = {Supercharacter theory via the group determinant},
author = {Shawn T. Burkett},
journal= {arXiv preprint arXiv:2003.12695},
year = {2020}
}