Throughout this paper, U,(K) will denote the unitriangular group of degree n over a given
field K. This group consists of all n X n matrices x=(x,) with coefficients in K which satisfy x …

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 …

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 …

Let UYn (q) be a Sylow p-subgroup of an untwisted Chevalley group Yn (q) of rank n defined
over Fq where q is a power of a prime p. We partition the set Irr (UYn (q)) of irreducible …

1. INTRODUCTION wx This paper is a continuation of 3, hence we start by recalling the
basic terminology and the relevant results proved in that paper. Let K be an arbitrary …

Representations of Unitriangular Groups Page 1 Representations of Unitriangular Groups
Tung Le and Kay Magaard Abstract We survey recent results concerning the representation …

The goal of this thesis is the extension of a construction of a supercharacter theory (first
established for finite groups) to the context of infinite countable discrete groups, namely, for …

Sums of orbits naturally rise in the method of orbits, which connects the character of an
irreducible representation of a group G with a< 5-function on the orbit of its coadjoint …

Суммы орбит естественно возникают в методе орбит, который связывает характер
неприводимого представления группы G с (J-фунюшей на орбите ее …