INFINITESIMAL CHEREDNIK ALGEBRAS AS W-ALGEBRAS
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31_2014_9261_ReferencePDF.pdf
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Author(s)
Losev, I.
Tsymbaliuk, Oleksandr
Date Issued
March 2014
Journal
Transformation Groups
Publisher
Springer US
Citation
Losev, I., and A. Tsymbaliuk. “INFINITESIMAL CHEREDNIK ALGEBRAS AS W-ALGEBRAS.” Transformation Groups 19.2 (2014): 495–526.
Version
Author's final manuscript
Abstract
In this article we establish an isomorphism between universal infinitesimal Cherednik algebras and W-algebras for Lie algebras of the same type and 1-block nilpotent elements. As a consequence we obtain some fundamental results about infinitesimal Cherednik algebras.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00031-014-9261-1
