One-W-type modules for rational Cherednik algebra and cuspidal two-sided cells
Representation Theory
2015-03-31 v2
Abstract
We classify the simple modules for the rational Cherednik algebra that are irreducible when restricted to W, in the case when W is a finite Weyl group. The classification turns out to be closely related to the cuspidal two-sided cells in the sense of Lusztig. We compute the Dirac cohomology of these modules and use the tools of Dirac theory to find nontrivial relations between the cuspidal Calogero-Moser cells and the cuspidal two-sided cells.
Cite
@article{arxiv.1503.07890,
title = {One-W-type modules for rational Cherednik algebra and cuspidal two-sided cells},
author = {Dan Ciubotaru},
journal= {arXiv preprint arXiv:1503.07890},
year = {2015}
}
Comments
16 pages; added references, corrected misprints