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Semisimple Hopf actions on Weyl algebras

Author(s)
Cuadra, Juan; Etingof, Pavel I; Walton, Chelsea
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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.
Date issued
2015-06
URI
http://hdl.handle.net/1721.1/111128
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Advances in Mathematics
Publisher
Elsevier
Citation
Cuadra, Juan et al. “Semisimple Hopf Actions on Weyl Algebras.” Advances in Mathematics 282 (September 2015): 47–55 © 2015 Elsevier Inc
Version: Author's final manuscript
ISSN
0001-8708
1090-2082

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