Stable centres of Iwahori-Hecke algebras of type A

DOI10.1007/s10468-022-10184-9arXiv2207.06319OpenAlexW4309582772MaRDI QIDQ6187529

Christopher Ryba

Publication date: 15 January 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06319

zbMATH Keywords

Hecke algebracentreFarahat Higman algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08)

Cites Work

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• Centres of Hecke algebras: the Dipper-James conjecture.
• The idempotents of the symmetric group and Nakayama's conjecture
• Murphy operators and the centre of the Iwahori-Hecke algebras of type \(A\)
• Symmetric polynomials and the center of the symmetric group ring
• Content evaluation and class symmetric functions
• The centres of symmetric group rings
• The centers of Iwahori-Hecke algebras are filtered
• Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations
• The algebra of conjugacy classes in symmetric groups, and partial permutations

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