Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665377 | Advances in Mathematics | 2015 | 9 Pages |
Abstract
We study actions of semisimple Hopf algebras H on Weyl algebras A over an algebraically closed field of characteristic zero. We show that the action of H on A must factor through a group action; in other words, if H acts inner faithfully on A, then H is cocommutative. The techniques used include reduction modulo a prime number and the study of semisimple cosemisimple Hopf actions on division algebras.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Juan Cuadra, Pavel Etingof, Chelsea Walton,