This article is a survey on representation theory of association schemes including recent
developments and some applications. A lot of known formulas on complex characters are …

This article investigates the question of when every double coset of a string $ C $-group $ G
$ relative to its vertex stabilizer subgroup $ H $ is represented by an involution. We show …

This is a survey of semisimple algebras of current interest in algebraic combinatorics, with a
focus on questions which we feel will be new and interesting to experts in group algebras …

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 …

Schur indices of association schemes Page 1 Journal of Pure and Applied Algebra 215 (2011)
1015–1023 Contents lists available at ScienceDirect Journal of Pure and Applied Algebra …

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 …

TORSION UNITS OF INTEGRAL GROUP RINGS AND SCHEME RINGS A Thesis Submitted to
the Faculty of Graduate Studies and Research In Par Page 1 TORSION UNITS OF INTEGRAL …

Torsion units of group rings have been studied extensively since the 1960s. As association
schemes are generalization of groups, it is natural to ask about torsion units of association …

A relation s of an association scheme is called regular if s∗ ss={s}. In Yoshikawa (2015), it
was shown that, for each regular relation s of an association scheme S, s∗ s is a closed …

The theory of association schemes has its origin in the design of statistical experiments. The
motivation came from the investigation of special kinds of partitions of the cartesian square …