Supercharacter theories and Schur rings
Group Theory
2010-06-09 v1 Representation Theory
Abstract
Diaconis and Isaacs have defined the supercharacter theories of a finite group to be certain approximations to the ordinary character theory of the group. We make explicit the connection between supercharacter theories and Schur rings, and we provide supercharacter theory constructions which correspond to Schur ring constructions of Leung and Man and of Tamaschke.
Keywords
Cite
@article{arxiv.1006.1363,
title = {Supercharacter theories and Schur rings},
author = {Anders O. F. Hendrickson},
journal= {arXiv preprint arXiv:1006.1363},
year = {2010}
}
Comments
This is reworked from "Constructions of supercharacter theories," arXiv:0905.3538v1 [math.GR], including new material on Schur rings and on superinduction