PBW deformations of quantum symmetric algebras and their group extensions Academic Article uri icon


  • We examine PBW deformations of finite group extensions of quantum symmetric algebras, in particular the quantum Drinfeld orbifold algebras defined by the first author. We give a homological interpretation, in terms of Gerstenhaber brackets, of the necessary and sufficient conditions on parameter functions to define a quantum Drinfeld orbifold algebra, thus clarifying the conditions. In case the acting group is trivial, we determine conditions under which such a PBW deformation is a generalized enveloping algebra of a color Lie algebra; our PBW deformations include these algebras as a special case.

published proceedings

  • Journal of Algebra and Its Applications

author list (cited authors)

  • Shroff, P., & Witherspoon, S.

citation count

  • 2

complete list of authors

  • Shroff, Piyush||Witherspoon, Sarah

publication date

  • April 2016