Semisimple Hopf actions on Weyl algebras

Juan Cuadra, Pavel Etingof, Chelsea Walton

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)47-55
Number of pages9
JournalAdvances in Mathematics
StatePublished - Sep 1 2015


  • Division algebra
  • Hopf algebra action
  • Reduction modulo p
  • Weyl algebra

ASJC Scopus subject areas

  • Mathematics(all)


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