Semisimple Hopf actions on Weyl algebras
Rings and Algebras
2015-06-24 v2 Quantum Algebra
Abstract
We study actions of semisimple Hopf algebras H on Weyl algebras A over a field of characteristic zero. We show that the action of H on A must factor through a group algebra; 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.
Keywords
Cite
@article{arxiv.1409.1644,
title = {Semisimple Hopf actions on Weyl algebras},
author = {Juan Cuadra and Pavel Etingof and Chelsea Walton},
journal= {arXiv preprint arXiv:1409.1644},
year = {2015}
}
Comments
v2: 9 pages. To appear in Adv. Math