Finite dimensional Hopf actions on deformation quantizations

Pavel Etingof, Chelsea Walton

Research output: Contribution to journalArticlepeer-review


We study when a finite dimensional Hopf action on a quantum formal deformation A of a commutative domain A0 (i.e., a deformation quantization) must factor through a group algebra. In particular, we show that this occurs when the Poisson center of the fraction field of A0 is trivial.

Original languageEnglish (US)
Pages (from-to)1917-1925
Number of pages9
JournalProceedings of the American Mathematical Society
Issue number5
StatePublished - 2017


  • Deformation quantization
  • Filtered deformation
  • Hopf algebra action
  • Poisson center

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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