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Finite dimensional Hopf actions on deformation quantizations

Author(s)
Etingof, Pavel I; Walton, Chelsea
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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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Abstract
We study when a finite dimensional Hopf action on a quantum formal deformation A of a commutative domain A 0 (i.e., a deformation quantization) must factor through a group algebra. In particular, we show that this occurs when the Poisson center of the fraction field of A 0 is trivial.
Date issued
2016-10
URI
http://hdl.handle.net/1721.1/115877
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Proceedings of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Etingof, Pavel, and Chelsea Walton. “Finite Dimensional Hopf Actions on Deformation Quantizations.” Proceedings of the American Mathematical Society 145, 5 (October 2016): 1917–1925 © 2016 American Mathematical Society
Version: Final published version
ISSN
0002-9939
1088-6826

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