\(k\)-partial permutations and the center of the wreath product \(\mathcal{S}_k\wr\mathcal{S}_n\) algebra

DOI10.1007/s10801-019-00934-2zbMath1464.05358arXiv1902.02124OpenAlexW4288600935MaRDI QIDQ2025120

Omar Tout

Publication date: 11 May 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02124

zbMATH Keywords

character theorystructure coefficientsshifted symmetric functions\(k\)-partial permutationswreath product of symmetric groups

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Combinatorial aspects of groups and algebras (05E16)

Related Items (2)

The algebra of conjugacy classes of the wreath product of a finite group with the symmetric group ⋮ The center of the wreath product of symmetric group algebras

Cites Work

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• The Farahat-Higman ring of wreath products and Hilbert schemes
• Character formulas and descents for the hyperoctahedral group
• A general framework for the polynomiality property of the structure coefficients of double-class algebras
• The centres of symmetric group rings
• A Frobenius formula for the structure coefficients of double-class algebras of Gelfand pairs
• The algebra of conjugacy classes in symmetric groups, and partial permutations

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