On the symmetric Gelfand pair (ℋn ×ℋn−1,diag(ℋn−1))

DOI10.1142/S0219498821500857zbMath1493.20005arXiv1912.05294OpenAlexW3008374049MaRDI QIDQ5162791

Omar Tout

Publication date: 5 November 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05294

zbMATH Keywords

hyperoctahedral groupsymmetric Gelfand pairs

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Combinatorial aspects of groups and algebras (05E16)

Uses Software

• SageMath

Cites Work

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• Structure coefficients of the Hecke algebra of \((\mathcal{S}_{2n},\mathcal{B}_n)\)
• Generators of the Hecke algebra of \((S_{2n},B_n)\).
• Generalized characters of the symmetric group.
• The projective representations of the hyperoctahedral group
• Spherical functions on the symmetric groups
• Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type
• Gelfand Pairs Involving the Wreath Product of Finite Abelian Groups with Symmetric Groups

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