PBW deformations of braided products
Rings and Algebras
2018-01-30 v3 Quantum Algebra
Representation Theory
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.
Keywords
Cite
@article{arxiv.1601.02274,
title = {PBW deformations of braided products},
author = {Chelsea Walton and Sarah Witherspoon},
journal= {arXiv preprint arXiv:1601.02274},
year = {2018}
}
Comments
v3: minor changes, to appear in the Journal of Algebra