The minimal basis for the centre of an Iwahori-Hecke algebra

DOI10.1006/jabr.1998.7925zbMath0940.20011OpenAlexW2119869393MaRDI QIDQ1818824

Andrew R. Francis

Publication date: 17 July 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7925

zbMATH Keywords

relationsalgorithmsWeyl groupsconjugacy classesCoxeter groupsgeneratorscentersminimal basespartial ordersIwahori-Hecke algebrasprimitive minimal positive central elements

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (12)

A general framework for the polynomiality property of the structure coefficients of double-class algebras ⋮ Large \(N\) expansion of \(q\)-deformed two-dimensional Yang-Mills theory and Hecke algebras ⋮ Centres of Hecke algebras: the Dipper-James conjecture. ⋮ A Reducibility Theorem ofG(m, 1,r) and Its Application to Trace Functions on Ariki–Koike Algebras ⋮ Schur-Weyl duality and centers of quantum Schur algebras ⋮ Centralizers of Iwahori-Hecke algebras ⋮ THE BRAUER HOMOMORPHISM AND THE MINIMAL BASIS FOR CENTERS OF IWAHORI–HECKE ALGEBRAS OF TYPEA^* ⋮ On bases of centres of Iwahori-Hecke algebras of the symmetric group. ⋮ CENTRES OF SYMMETRIC CELLULAR ALGEBRAS ⋮ A new integral basis for the centre of the Iwahori-Hecke algebra of type \(A\). ⋮ Frobenius map for the centers of Hecke algebras ⋮ On the square root of the centre of the Hecke algebra of type A

Uses Software

• CHEVIE

Cites Work

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• The Lusztig isomorphism for Hecke algebras of dihedral type
• Representation theory of the 0-Hecke algebra
• On a theorem of Benson and Curtis
• Representations of Coxeter groups and Hecke algebras
• A Frobenius formula for the characters of the Hecke algebras
• On the irreducible characters of Hecke algebras
• CHEVIE -- A system for computing and processing generic character tables
• Centers of Generic Hecke Algebras
• Wavefronts and reflection groups
• Blocks and Idempotents of Hecke Algebras of General Linear Groups

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