Finite dimensional Hopf actions on Weyl algebras

We prove that any action of a finite dimensional Hopf algebra H on a Weyl algebra A over an algebraically closed field of characteristic zero factors through a group action. In other words, Weyl algebras do not admit genuine finite quantum symmetries. This improves a previous result by the authors,...

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Bibliographic Details
Main Authors: Cuadra, Juan, Walton, Chelsea, Etingof, Pavel I
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Elsevier BV 2018
Online Access:http://hdl.handle.net/1721.1/119625
https://orcid.org/0000-0002-0710-1416