Abstract
It is well known that the pair is a Gelfand pair where is the symmetric group on n elements. In this paper, we prove that if G is a finite group then where is the wreath product of G by is a Gelfand pair if and only if G is abelian.
Original language | English |
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Pages (from-to) | 91-97 |
Number of pages | 7 |
Journal | Canadian Mathematical Bulletin |
Volume | 64 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2021 |
Externally published | Yes |
Keywords
- Gelfand pairs
- representation theory of finite groups
- wreath product of finite abelian groups with symmetric groups
ASJC Scopus subject areas
- General Mathematics