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

2008/01/10 by Martino, Maurizio
#16G99 #16S38 #16S80 #20C08 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0801.1627

Abstract

Let W be a complex reflection group. We formulate a conjecture relating blocks of the corresponding restricted rational Cherednik algebras and Rouquier families for cyclotomic Hecke algebras. We verify the conjecture in the case that W is a wreath product of a symmetric group with a cyclic group of order l.

Related

• The Calogero-Moser partition for G(m,d,n)
• On the cyclotomic Hecke algebras of complex reflection groups
• On the Calogero-Moser space associated with dihedral groups
• Blocks and families for cyclotomic Hecke algebras
• Calogero-Moser versus Kazhdan-Lusztig cells