Orderings on Calogero-Moser partition of imprimitive groups

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TitreOrderings on Calogero-Moser partition of imprimitive groups
Type de publicationJournal Article
Year of Publication2014
AuteursLiboz E
JournalJOURNAL OF ALGEBRA
Volume417
Pagination116-144
Date PublishedNOV 1
Type of ArticleArticle
ISSN0021-8693
Mots-clésAlgebraic combinatorics, Cherednik algebras, Complex reflection groups, Hecke algebras, Quiver varieties
Résumé

We extend to all parameters the constructions of the geometric and combinatorial orders on Irr G(l, 1, n) due to [14], as well as the relations with the a and c-functions. This allows us to generalize these properties for the group G(l, e, n), at least for e inverted iota n. (C) 2014 Elsevier Inc. All rights reserved.

DOI10.1016/j.jalgebra.2014.01.023