PBW deformations of braided products Academic Article uri icon


  • 2018 Elsevier Inc. We present new examples of deformations of smash product algebras that arise from Hopf algebra actions on pairs of module algebras. These examples involve module algebras that are Koszul, in which case a PBW theorem we established previously applies. Our construction generalizes several double constructions appearing in the literature, including Weyl algebras and some types of Cherednik algebras, and it complements the braided double construction of Bazlov and Berenstein. Many suggestions of further directions are provided at the end of the work.

published proceedings

  • Journal of Algebra

author list (cited authors)

  • Walton, C., & Witherspoon, S.

citation count

  • 6

complete list of authors

  • Walton, Chelsea||Witherspoon, Sarah

publication date

  • January 2018