Murphy operators and the centre of the Iwahori-Hecke algebras of type \(A\)

DOI10.1023/A:1018604404327zbMath0947.20004OpenAlexW1595286908MaRDI QIDQ1301863

Andrew Mathas

Publication date: 28 June 2000

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

Full work available at URL: https://doi.org/10.1023/a:1018604404327

zbMATH Keywords

symmetric groupscentressymmetric polynomialsorthogonalityIwahori-Hecke algebrasMurphy operators

Mathematics Subject Classification ID

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

Related Items

Matrix units and generic degrees for the Ariki-Koike algebras., Centres of Hecke algebras: the Dipper-James conjecture., Stable centres of Iwahori-Hecke algebras of type A, A new integral basis for the centre of the Iwahori-Hecke algebra of type \(A\).

Uses Software

• GAP

Cites Work

• The idempotents of the symmetric group and Nakayama's conjecture
• A q -Analogue of the Jantzen-Schaper Theorem
• Blocks and Idempotents of Hecke Algebras of General Linear Groups