The Calogero-Moser partition and Rouquier families for complex reflection groups.

DOI10.1016/j.jalgebra.2009.09.001zbMath1219.20006arXiv0801.1627OpenAlexW2963045853MaRDI QIDQ2268603

Maurizio Martino

Publication date: 8 March 2010

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

Full work available at URL: https://arxiv.org/abs/0801.1627

zbMATH Keywords

cyclotomic Hecke algebrascomplex reflection groupsrational Cherednik algebrasCalogero-Moser partitionsRouquier families

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20) Associative rings and algebras arising under various constructions (16S99)

Related Items (8)

Orderings on Calogero-Moser partition of imprimitive groups. ⋮ Blocks of restricted rational Cherednik algebras for \(G(m,d,n)\). ⋮ Computational aspects of Calogero-Moser spaces ⋮ On Calogero-Moser cellular characters for imprimitive complex reflection groups ⋮ A counter-example to Martino's conjecture about generic Calogero-Moser families. ⋮ ON THE SMOOTHNESS OF CENTRES OF RATIONAL CHEREDNIK ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ The Calogero-Moser partition for G(m,d,n) ⋮ <scp>Champ</scp>: a Cherednik algebra<scp>Magma</scp>package

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