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

Let $ U_ {n}(q) $ denote the (upper) unitriangular group of degree $ n $ over the finite field
$\mathbb {F} _ {q} $ with $ q $ elements. In this paper we consider the basic (complex) …

Let G be the group of n× n upper-triangular matrices with elements in a finite field and ones
on the diagonal. This paper applies the character theory of Andre, Carter, and Yan to …

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 …

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 …

We define the superclasses for a classical finite unipotent group U of type Bn (q), Cn (q), or
Dn (q), and show that, together with the supercharacters defined in [CAM André, AM Neto …

We define and study supercharacters of the classical finite unipotent groups of types B n (q),
C n (q) and D n (q). We show that the results we proved in 2006 remain valid over any finite …

Diaconis and Isaacs define in [8](Diaconis and Isaacs, 2008) a supercharacter theory for
algebra groups over a finite field by constructing certain unions of conjugacy classes called …