We study certain sums of irreducible characters and compatible unions of conjugacy classes
in finite algebra groups. These groups generalize the unimodular upper triangular groups …

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 …

The general linear group [special characters omitted] over a field [special characters omitted]
contains a particularly prominent subgroup, the unipotent linear group [special characters …

The theory of supercharacters, recently developed by Diaconis-Isaacs and André, is used to
derive the fundamental algebraic properties of Ramanujan sums. This machinery frequently …

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 …

We define and study super-characters (over the complex field) of the classical finite
unipotent groups of types Bn, Cn and Dn. Under the assumption that the prime is sufficiently …

The theory of supercharacters, which generalizes classical character theory, was recently
introduced by P. Diaconis and IM Isaacs, building upon earlier work of C. André. We study …

It is becoming increasingly clear that the supercharacter theory of the finite group of
unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions …

In studying the enumerative theory of super characters of the group of upper triangular
matrices over a finite field, we found that the moments (mean, variance, and higher …

This article is based on lectures given by the authors in 2005 and 2006. Our first goal is to
present an introduction to the orbit method with an emphasis on the character theory of finite …