Abstract
We show that the ℋn-1-conjugacy classes of ℋn, where ℋn is the hyperoctahedral group on 2n elements, are indexed by marked bipartitions of n. This will lead us to prove that (ℋn ×ℋn-1,diag(ℋn-1)) is a symmetric Gelfand pair and that the induced representation 1diag(ℋn-1)ℋn×ℋn-1 is multiplicity free.
Original language | English |
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Article number | 2150085 |
Journal | Journal of Algebra and Its Applications |
Volume | 20 |
Issue number | 5 |
DOIs | |
Publication status | Published - May 2021 |
Externally published | Yes |
Keywords
- Hyperoctahedral group
- Symmetric Gelfand pairs
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics