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arXiv · 1409.1644

Semisimple Hopf actions on Weyl algebras

Juan Cuadra·Pavel Etingof·Chelsea Walton
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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.

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BibTeXRIS

Juan Cuadra, Pavel Etingof, Chelsea Walton. 2014-09-05. Semisimple Hopf actions on Weyl algebras. https://arxiv.org/abs/1409.1644

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