Semisimple Hopf actions on Weyl algebras
Author(s)Cuadra, Juan; Etingof, Pavel I; Walton, Chelsea
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Advances in Mathematics
Cuadra, Juan et al. “Semisimple Hopf Actions on Weyl Algebras.” Advances in Mathematics 282 (September 2015): 47–55 © 2015 Elsevier Inc
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