Blocks and families for cyclotomic Hecke algebras.

DOI10.1007/978-3-642-03064-2zbMath1191.20004arXiv0807.1476OpenAlexW1506499604MaRDI QIDQ1031082

Maria Chlouveraki

Publication date: 28 October 2009

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1476

zbMATH Keywords

Weyl groupsblockssymmetric algebrascyclotomic Hecke algebrascomplex reflection groupsRouquier blocksSchur elementsfamilies of charactersLusztig characters

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (20)

Universal deformations of the finite quotients of the braid group on 3 strands. ⋮ The freeness and trace conjectures for parabolic Hecke subalgebras ⋮ A maximal cubic quotient of the braid algebra. I. ⋮ Orderings on Calogero-Moser partition of imprimitive groups. ⋮ Computational aspects of Calogero-Moser spaces ⋮ On Calogero-Moser cellular characters for imprimitive complex reflection groups ⋮ Defect in cyclotomic Hecke algebras ⋮ Topological quantum field theories from Hecke algebras ⋮ The principal block of a \(\mathbb{Z}_{\ell}\)-spets and Yokonuma type algebras ⋮ Blocks in flat families of finite-dimensional algebras ⋮ The symbolical and cancellation-free formulae for Schur elements. ⋮ A counter-example to Martino's conjecture about generic Calogero-Moser families. ⋮ Constructible representations and basic sets in type \(B\). ⋮ Schur elements for the Ariki-Koike algebra and applications. ⋮ The BMR freeness conjecture for the tetrahedral and octahedral families ⋮ Rouquier blocks of the cyclotomic Hecke algebras of G(de, e, r) ⋮ The Calogero-Moser partition and Rouquier families for complex reflection groups. ⋮ The Calogero-Moser partition for G(m,d,n) ⋮ SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS ⋮ <scp>Champ</scp>: a Cherednik algebra<scp>Magma</scp>package

Uses Software

• CHEVIE

This page was built for publication: Blocks and families for cyclotomic Hecke algebras.