PoincarBirkhoffWitt deformations of smash product algebras from Hopf actions on Koszul algebras Academic Article

abstract

• 2014, Mathematical Sciences Publishers. 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 PoincarBirkhoff Witt (PBW) deformation of the smash product algebra B # H. Many examples of these deformations are given.

authors

• Witherspoon, Sarah

published proceedings

• Algebra & Number Theory

altmetric score

• 0.25

author list (cited authors)

• Walton, C., & Witherspoon, S.

citation count

• 6

complete list of authors

• Walton, Chelsea||Witherspoon, Sarah

publication date

• January 2014

publisher

• Mathematical Sciences Publishers  Publisher

published in

• Algebra and Number Theory  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.2140/ant.2014.8.1701

start page

• 1701

end page

• 1731

volume

• 8

issue

• 7

URL

• http://dx.doi.org/10.2140/ant.2014.8.1701