Gelfand Pairs Involving the Wreath Product of Finite Abelian Groups with Symmetric Groups

DOI10.4153/S0008439520000259zbMath1471.20010arXiv2004.05900OpenAlexW3016080306MaRDI QIDQ5858660

Omar Tout

Publication date: 14 April 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05900

zbMATH Keywords

Gelfand pairsrepresentation theory of finite groupswreath product of finite abelian groups with symmetric groups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (2)

On the symmetric Gelfand pair (ℋn ×ℋn−1,diag(ℋn−1)) ⋮ Strong Gelfand subgroups of F ≀ Sn

Cites Work

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• Structure coefficients of the Hecke algebra of \((\mathcal{S}_{2n},\mathcal{B}_n)\)
• Generalized characters of the symmetric group.
• Spherical functions on the symmetric groups
• The Littlewood-Richardson rule for wreath products with symmetric groups and the quiver of the categoryF≀FI_n
• From parking functions to Gelfand pairs

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