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

Maurizio Martino

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

Representation Theory 2009-03-13 v2

Authors: Maurizio Martino

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 $l$ .

Keywords

hecke algebra coxeter groups weyl group representations

Cite

@article{arxiv.0801.1627,
  title  = {The Calogero-Moser partition and Rouquier families for complex reflection groups},
  author = {Maurizio Martino},
  journal= {arXiv preprint arXiv:0801.1627},
  year   = {2009}
}

Comments

Completely rewritten with updated conjecture and a proof of the conjecture for wreath products (thus incorporating the main result of arXiv:0804.2591)

Related papers

View all related →