Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665883 | Advances in Mathematics | 2014 | 15 Pages |
Abstract
Let H be a semisimple (so, finite dimensional) Hopf algebra over an algebraically closed field k of characteristic zero and let A be a commutative domain over k. We show that if A arises as an H-module algebra via an inner faithful H-action, then H must be a group algebra. This answers a question of E. Kirkman and J. Kuzmanovich and partially answers a question of M. Cohen.The main results of this article extend to working over k of positive characteristic. On the other hand, we obtain results on Hopf actions on Weyl algebras as a consequence of the main theorem.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Pavel Etingof, Chelsea Walton,