On the Calogero-Moser space associated with dihedral groups
Representation Theory
2017-09-01 v1
Abstract
Using the geometry of the associated Calogero-Moser space, R. Rouquier and the author have attached to any finite complex reflection group several notions (Calogero-Moser left, right or two-sided cells, Calogero-Moser cellular characters), completing the notion of Calogero-Moser families defined by Gordon. If moreover is a Coxeter group, they conjectured that these notions coincide with the analogous notions defined using the Hecke algebra by Kazhdan and Lusztig (or Lusztig in the unequal parameters case). In the present paper, we aim to investigate these conjectures whenever is a dihedral group.
Keywords
Cite
@article{arxiv.1708.09728,
title = {On the Calogero-Moser space associated with dihedral groups},
author = {Cédric Bonnafé},
journal= {arXiv preprint arXiv:1708.09728},
year = {2017}
}
Comments
28 pages