Finite dimensional Hopf actions on deformation quantizations
Quantum Algebra
2016-07-05 v3 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1602.00532,
title = {Finite dimensional Hopf actions on deformation quantizations},
author = {Pavel Etingof and Chelsea Walton},
journal= {arXiv preprint arXiv:1602.00532},
year = {2016}
}
Comments
v3. 9 pages. To appear in Proc. Amer. Math. Soc