Supercharacter formulas for pattern groups
Journal Article
Overview
abstract
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 $U_n(F_q)$. 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.
