Journal article
One-W-type modules for rational Cherednik algebra and cuspidal two-sided cells
- Abstract:
- We classify the simple modules for the rational Cherednik algebra H0,c 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, in the sense of Bellamy, and the cuspidal two-sided cells.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- Institute of Mathematics Academia Sinica Publisher's website
- Journal:
- Bulletin of the Institute of Mathematics Academia Sinica Journal website
- Volume:
- 13
- Issue:
- 1
- Pages:
- 1-29
- Publication date:
- 2018-03-01
- Acceptance date:
- 2016-09-19
- DOI:
Item Description
- Keywords:
- Pubs id:
-
pubs:516327
- UUID:
-
uuid:36de850d-8c16-4880-a53f-9067a6ab8667
- Local pid:
- pubs:516327
- Source identifiers:
-
516327
- Deposit date:
- 2017-01-08
Terms of use
- Copyright holder:
- Bulletin, Institute of Mathematics, Academia Sinica
- Copyright date:
- 2018
- Notes:
- Copyright © Bulletin, Institute of Mathematics, Academia Sinica 2018
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