Strong Gelfand subgroups of F ≀ Sn

DOI10.1142/S0129167X21500105MaRDI QIDQ5856991

Mahir Bilen Can, Yiyang She, Liron Speyer

Publication date: 30 March 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11200

zbMATH Keywords

wreath productshyperoctahedral groupsigned symmetric groupmultiplicity-free subgroupsstrong Gelfand pairsstembridge subgroups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

Related Items (1)

Strong Gelfand pairs of SL(2,p)

Cites Work

• Multiplicity one theorems
• Multiplicity-free permutation representations of the symmetric group.
• Multiplicity one theorems: the Archimedean case
• Shifted tableaux and the projective representations of symmetric groups
• The projective representations of the hyperoctahedral group
• Multiplicity free subgroups of compact connected Lie groups
• Characters of multiply transitive permutation groups
• On the representation theory of wreath products of finite groups and symmetric groups
• Classification of finite-multiplicity symmetric pairs
• Induced representations and Mackey theory.
• Structure and finiteness properties of subdirect products of groups
• A family of finite Gelfand pairs associated with wreath products
• Strong Gelfand pairs of symmetric groups
• Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups
• Gelfand Pairs Involving the Wreath Product of Finite Abelian Groups with Symmetric Groups
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