PBW deformations of braided products

Chelsea Walton, Sarah Witherspoon

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)536-567
Number of pages32
JournalJournal of Algebra
Volume504
DOIs
StatePublished - Jun 15 2018

Keywords

  • Hopf algebras
  • PBW deformations
  • Smash product algebras

ASJC Scopus subject areas

  • Algebra and Number Theory

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