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One-W-type modules for rational Cherednik algebra and cuspidal two-sided cells

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.
Publication status:
Submitted

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publication date:
2015-03-26
Keywords:
Pubs id:
pubs:516327
UUID:
uuid:f80347ed-3903-42c1-a930-dbeac4a210a9
Local pid:
pubs:516327
Source identifiers:
516327
Deposit date:
2015-05-26

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