pith. sign in

arxiv: 1801.08855 · v1 · pith:NZ2MMGFKnew · submitted 2018-01-26 · 🧮 math.RA · math.RT

Color Lie rings and PBW deformations of skew group algebras

classification 🧮 math.RA math.RT
keywords algebrasalgebragroupcolorenvelopinguniversaldrinfeldorbifold
0
0 comments X
read the original abstract

We investigate color Lie rings over finite group algebras and their universal enveloping algebras. We exhibit these universal enveloping algebras as PBW deformations of skew group algebras: Every color Lie ring over a finite group algebra with a particular Yetter-Drinfeld structure has universal enveloping algebra that is a quantum Drinfeld orbifold algebra. Conversely, every quantum Drinfeld orbifold algebra of a particular type arising from the action of an abelian group is the universal enveloping algebra of some color Lie ring over the group algebra. One consequence is that these quantum Drinfeld orbifold algebras are braided Hopf algebras.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.