Abstract Let U _ ∞ (K) be the locally finite unitriangular group defined over a finite field K
with q elements. We define the notion of an indecomposable supercharacter and describe …

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

In this paper, we build a general framework in which we give a formula that shows the form
of the structure coefficients of double-class algebras and centers of group algebras. This …

The supercharacter theory of a finite group was introduced by Diaconis and Isaacs as an
alternative to the usual irreducible character theory, and illustrated with a construction in the …

The notion of the supercharacter theory was introduced by P. Diaconis and IM Isaaks in
2008. In this paper, we present a review of the main notions and facts of the general theory …

The notion of the supercharacter theory was introduced by P. Diaconis and IM Isaaks in
2008. In this paper we review the main statements of the general theory, we observe the …

Using the correspondence between central Schur rings and supercharacter theories for
finite groups, we simplify the construction of the standard supercharacter theory for adjoint …

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

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