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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…
math.RA2024
Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
Tekin Karadag, Dustin McPhate, Pablo S. Ocal +2
We present techniques for computing Gerstenhaber brackets on Hochschild cohomology of general twisted tensor product algebras. These techniques involve twisted tensor product resol…