We identify two seemingly disparate structures: supercharacters, a useful way of doing
Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a …

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 …

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 …

We construct supercharacter theories of finite unipotent groups in the orthogonal, symplectic
and unitary types. Our method utilizes group actions in a manner analogous to that of …

It is well known that the representation theory of the finite group of unipotent upper-triangular
matrices Un over a finite field is a wild problem. By instead considering approximately …

The “method of little groups” describes the irreducible characters of semidirect products with
abelian normal subgroups in terms of the irreducible characters of the factor groups. We …

If J is a finite-dimensional nilpotent algebra over a finite field k, the algebra group P= 1+ J
admits a (standard) supercharacter theory as defined in [16]. If J is endowed with an …

We study irreducible characters, and define and study supercharacters of the adjoint group
of a finite radical ring. We extend work of Halasi on irreducible characters, and recent work …