Poincaré–Birkhoff–Witt deformations of smash product algebras from Hopf actions on Koszul algebras Academic Article uri icon


  • © 2014, Mathematical Sciences Publishers. Let H be a Hopf algebra and let B be a Koszul H-module algebra. We provide necessary and sufficient conditions for a filtered algebra to be a Poincaré–Birkhoff– Witt (PBW) deformation of the smash product algebra B # H. Many examples of these deformations are given.

altmetric score

  • 0.25

author list (cited authors)

  • Walton, C., & Witherspoon, S.

citation count

  • 5

complete list of authors

  • Walton, Chelsea||Witherspoon, Sarah

publication date

  • October 2014