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 K be an arbitrary field and let n be a positive integer. Let Un K denote the (upper)
unitriangular group of degree n over K; then Un K consists of all unipotent upper-triangular …

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 Regular Character of the Unitriangular Group Page 1 Ž . JOURNAL OF ALGEBRA 201,
152 1998 ARTICLE NO. JA977258 The Regular Character of the Unitriangular Group Carlos …

It is well known that the classification of irreducible characters for the group of upper
unitriangular nx n-matrices over a finite field with q elements, denoted U_n (q), is a" wild" …

Representation theory of finite groups portrays a marvelous crossroad of group theory,
algebraic combinatorics, and probability. In particular the Plancherel measure is a …

We find the generators of the fields of invariants of the coadjoint action of the unitriangular
group on the basic varieties and basic cells. It is proved that the transcendental degree of …

The maximal subgroup of unipotent upper-triangular matrices of the finite general linear
groups is a fundamental family of p-groups. Their representation theory is well known to be …

For the p-Sylow subgroups U of the finite classical groups of untwisted Lie type, p an odd
prime, we construct a monomial C U-module M which is isomorphic to the regular …

Representation theory of finite groups portrays a marvelous crossroad of group theory,
algebraic combinatorics, and probability. In particular a probability, called the Plancherel …