Appendix: On some Gelfand pairs and commutative association schemes

Eiichi Bannai, Hajime Tanaka

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2015 Mar


  • Gelfand pair
  • commutative association scheme

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'Appendix: On some Gelfand pairs and commutative association schemes'. Together they form a unique fingerprint.

Cite this