Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How
many switches are needed in order to mix up the deck? Starting from a few concrete …

We present a new construction of finite Gelfand pairs by looking at the action of the full
automorphism group of a finite spherically homogeneous rooted tree of type r on the variety …

In this paper, we study harmonic analysis on finite homogeneous spaces whose associated
permutation representation decomposes with multiplicity. After a careful look at Frobenius …

Wreath products in reality-based algebras are generalizations of wreath products of table
algebras and generalized Camina–Frobenius pairs of C-algebras. In this paper we present …

We will consider structures of Terwilliger algebras of direct and wreath products of
association schemes. In general, it is difficult to determine the structure of the Terwilliger …

We consider a relation between characters of an association scheme and its strongly normal
closed subsets with prime index. As an application of our result, we show that an association …

We introduce the notion of the combinatorial extension of a Terwilliger algebra by a coherent
algebra. By using this notion, we find a simple way to describe the Terwilliger algebras of …

In the remarkable paper (Blau, J. Algebr. 396: 220–271, 2013) on fusion rings, Blau
introduced a very important operation on two table algebras (the Blau-construction). It is very …

Characterization of p-schemes of prime cube order Page 1 Journal of Algebra 331 (2011) 1–10
Contents lists available at ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra …

Extensions of association schemes and table algebras have been studied in many papers in
the last two decades. A remarkable operation (the Blau-construction) on two table algebras …