Showing math.RAShow all
3 papers · 1 filter
math.RA2026
Deformation cohomology for cyclic groups acting on polynomial rings
Colin M. Lawson, Anne V. Shepler
We examine the Hochschild cohomology governing graded deformations for finite cyclic groups acting on polynomial rings. We classify the infinitesimal graded deformations of the ske…
math.RA2026
Deformation Theory and Hopf Actions on Koszul Algebras
A. V. Shepler, S. Witherspoon
We consider graded deformations and PBW deformations of algebras defined over noncommutative algebras. We explain how fibers of graded deformations correspond to filtered algebras…
math.RA2024
Twisted tensor products: Alexander-Whitney and Eilenberg-Zilber maps
Anne V. Shepler, Sarah Witherspoon
Alexander-Whitney and Eilenberg-Zilber maps traditionally convert between the tensor product of standard resolutions and the standard resolution of a tensor product of algebras. We…