Poincaré–Birkhoff–Witt deformations of smash product algebras from hopf actions on koszul algebras

Chelsea Walton, Sarah Witherspoon

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1701-1731
Number of pages31
JournalAlgebra and Number Theory
Volume8
Issue number7
DOIs
StatePublished - 2014
Externally publishedYes

Keywords

  • Hopf algebra
  • Koszul algebra
  • PBW deformation
  • Smash product algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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