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Dirac cohomology for symplectic reflection algebras

Abstract:

We define uniformly the notions of Dirac operators and Dirac cohomology in the framework of the Hecke algebras introduced by Drinfeld. We generalize in this way the Dirac cohomology theory for Lusztig's graded affine Hecke algebras. We apply these constructions to the case of symplectic reflection algebras defined by Etingof-Ginzburg, particularly to rational Cherednik algebras for real or complex reflection groups with parameters t,c. As applications, we give criteria for unitarity of module...

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Publication status:
Submitted

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publication date:
2015-02-19
Source identifiers:
511163
Keywords:
Pubs id:
pubs:511163
UUID:
uuid:5dcf9330-a6ac-41bf-97dd-69e30397dc54
Local pid:
pubs:511163
Deposit date:
2015-05-26

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