Finite dimensional Hopf actions on deformation quantizations
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- by Pavel Etingof and Chelsea Walton PDF
- Proc. Amer. Math. Soc. 145 (2017), 1917-1925 Request permission
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.References
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Additional Information
- Pavel Etingof
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 289118
- Email: etingof@math.mit.edu
- Chelsea Walton
- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
- MR Author ID: 879649
- Email: notlaw@temple.edu
- Received by editor(s): February 21, 2016
- Received by editor(s) in revised form: July 2, 2016
- Published electronically: October 27, 2016
- Communicated by: Kailash C. Misra
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1917-1925
- MSC (2010): Primary 16T05, 16S80, 17B63, 16W70
- DOI: https://doi.org/10.1090/proc/13356
- MathSciNet review: 3611308