Finite dimensional Hopf actions on deformation quantizations

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.

Bibliographic Details
Main Authors: Etingof, Pavel I, Walton, Chelsea
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: American Mathematical Society (AMS) 2018
Online Access:http://hdl.handle.net/1721.1/115877
https://orcid.org/0000-0002-0710-1416

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