Unitary Representations of Rational Cherednik Algebras

We study unitarity of lowest weight irreducible representations of rational Cherednik algebras. We prove several general results, and use them to determine which lowest weight representations are unitary in a number of cases. In particular, in type A, we give a full description of the unitarity l...

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Bibliographic Details
Main Authors: Etingof, Pavel I., Stoica, Emanuel I., Griffeth, Stephen
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society 2011
Online Access:http://hdl.handle.net/1721.1/62834
https://orcid.org/0000-0002-0710-1416