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 …

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 …

Let UTn (q) denote the group of unipotent n× n upper triangular matrices over a field with q
elements. The degrees of the complex irreducible characters of UTn (q) are precisely the …

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 …

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

Using the Kirillov orbit method, novel methods from p-adic integration and Clifford theory, we
study representation zeta functions associated to compact p-adic analytic groups. In …

We consider the central Schur ring associated with the standard supercharacters of the
adjoint group G (A) of a finite radical ring A, and define supercharacters of the subgroup CG …