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 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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Authors
- Publication date:
- 2015-03-26
- Keywords:
- Pubs id:
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pubs:516327
- UUID:
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uuid:f80347ed-3903-42c1-a930-dbeac4a210a9
- Local pid:
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pubs:516327
- Source identifiers:
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516327
- Deposit date:
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2015-05-26
- ARK identifier:
Terms of use
- Copyright holder:
- Ciubotaru, D
- Copyright date:
- 2015
- Notes:
- 16 pages; added references, corrected misprints
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