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

DOI10.1216/rmj.2023.53.561zbMath1530.20049arXiv2107.05024OpenAlexW3182659603MaRDI QIDQ6115580

Omar Tout

Publication date: 10 August 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.05024

zbMATH Keywords

wreath productcharacter theorypartial permutationsstructure coefficientsshifted symmetric functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Extensions, wreath products, and other compositions of groups (20E22) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Partial isomorphisms over finite fields
• Structure coefficients of the Hecke algebra of \((\mathcal{S}_{2n},\mathcal{B}_n)\)
• Factoring \(n\)-cycles and counting maps of given genus
• The Farahat-Higman ring of wreath products and Hilbert schemes
• \(k\)-partial permutations and the center of the wreath product \(\mathcal{S}_k\wr\mathcal{S}_n\) algebra
• A general framework for the polynomiality property of the structure coefficients of double-class algebras
• The centres of symmetric group rings
• Vertex algebras and the class algebras of wreath products
• The center of the wreath product of symmetric group algebras
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