Supercharacter formulas for pattern groups
表示论
2007-05-23 v1 组合数学
摘要
C. Andre and N. Yan introduced the idea of a supercharacter theory to give a tractable substitute for character theory in wild groups such as the unipotent uppertriangular group . In this theory superclasses are certain unions of conjugacy classes, and supercharacters are a set of characters which are constant on superclasses. This paper gives a character formula for a supercharacter evaluated at a superclass for pattern groups and more generally for algebra groups.
引用
@article{arxiv.math/0610161,
title = {Supercharacter formulas for pattern groups},
author = {Persi Diaconis and Nathaniel Thiem},
journal= {arXiv preprint arXiv:math/0610161},
year = {2007}
}