Color Lie rings and PBW deformations of skew group algebras Academic Article

abstract

• 2018 Elsevier Inc. 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 YetterDrinfeld structure has a 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.

authors

• Witherspoon, Sarah

published proceedings

• Journal of Algebra

author list (cited authors)

• Fryer, S., Kanstrup, T., Kirkman, E., Shepler, A. V., & Witherspoon, S.

citation count

• 0

complete list of authors

• Fryer, S||Kanstrup, T||Kirkman, E||Shepler, AV||Witherspoon, S

publication date

• January 2019

publisher

• Elsevier  Publisher

published in

• Journal of Algebra  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jalgebra.2018.10.012

start page

• 211

end page

• 236

volume

• 518

URL

• http://dx.doi.org/10.1016/j.jalgebra.2018.10.012