Finite dimensional Hopf actions on deformation quantizations
Name
S0002-9939-2016-13356-X.pdf
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201.25 KB
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Adobe PDF
Checksum (MD5)
350dcaa09f99f59bc75d0c08f781a50c
Author(s)
Etingof, Pavel I
Walton, Chelsea
Date Issued
October 2016
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
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.
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/10.1090/PROC/13356
