SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS

DOI10.1142/S0219498811005075zbMath1251.20006arXiv0910.4931MaRDI QIDQ3117915

Maria Chlouveraki, Nicolas Jacon

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4931

zbMATH Keywords

cyclotomic Hecke algebrasfinite Weyl groupscomplex reflection groupsbasic setsSchur elementsLusztig \(a\)-function

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (5)

The many integral graded cellular bases of Hecke algebras of complex reflection groups ⋮ Generalised canonical basic sets for Ariki-Koike algebras ⋮ Orderings on Calogero-Moser partition of imprimitive groups. ⋮ Defect in cyclotomic Hecke algebras ⋮ Schur elements for the Ariki-Koike algebra and applications.

Cites Work

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• Constructible representations and basic sets in type \(B\).
• On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity.
• The number of simple modules for the Hecke algebras of type \(G(r,p,n)\) (with an appendix by Xiaoyi Cui).
• Canonical basic sets in type \(B_n\).
• Blocks and families for cyclotomic Hecke algebras.
• Towards spetses. I
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Families of characters of cyclotomic Hecke algebras.
• Cellular algebras
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• Crystal graphs of higher level \(q\)-deformed Fock spaces, Lusztig \(a\)-values and Ariki-Koike algebras
• Crystal bases and simple modules for Hecke algebras of type $G(p,p,n)$
• Weights of Markov traces and generic degrees

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