On the square root of the centre of the Hecke algebra of type A

DOI10.1017/S1446788700016037zbMath1115.20007arXiv0705.1567OpenAlexW2122959660MaRDI QIDQ3441488

Andrew R. Francis, Leonard Jones

Publication date: 30 May 2007

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1567

zbMATH Keywords

symmetric groupsgeneratorselementary symmetric functionsIwahori-Hecke algebrasMurphy elementsnon-central elementssign characters

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Cites Work

• Centres of Hecke algebras: the Dipper-James conjecture.
• The idempotents of the symmetric group and Nakayama's conjecture
• On the representation theory of the symmetric groups and associated Hecke algebras
• The minimal basis for the centre of an Iwahori-Hecke algebra
• The representations of Hecke algebras of type \(A_ n\)
• On bases of centres of Iwahori-Hecke algebras of the symmetric group.
• Representation type of Hecke algebras of type 𝐴
• Centers of Generic Hecke Algebras
• SQUARES IN THE CENTRE OF THE GROUP ALGEBRA OF A SYMMETRIC GROUP
• Representations of Hecke Algebras of General Linear Groups
• Seminormal Representations of Weyl Groups and Iwahori-Hecke Algebras
• Blocks and Idempotents of Hecke Algebras of General Linear Groups

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