Appendix: On some Gelfand pairs and commutative association schemes

Eiichi Bannai, Hajime Tanaka

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper is Appendix of the paper of T. Ceccherini-Silberstein, F. Scarabotti and F. Tolli [8].We pay close attention on a special condition related to Gelfand pairs. Namely, we call a finite group G and its automorphism σsatisfy Condition ((Formula presented.)(Formula presented.)) if the following condition is satisfied: if for (Formula presented.)(Formula presented.), (Formula presented.)(Formula presented.) and (Formula presented.)(Formula presented.)are conjugate in G, then they are conjugate in (Formula presented.)(Formula presented.). The main purpose of the note was to study the meanings of this condition, as well as showing many examples of G and (Formula presented.)(Formula presented.) which do (or do not) satisfy Condition ((Formula presented.)(Formula presented.)).

Original languageEnglish
Pages (from-to)97-104
Number of pages8
JournalJapanese Journal of Mathematics
Volume10
Issue number1
DOIs
Publication statusPublished - 2015 Jan 1

Keywords

  • Gelfand pair
  • commutative association scheme

ASJC Scopus subject areas

  • Mathematics(all)

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