3 papers
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.CT2026
Noncommutative tensor triangular geometry: modules, bimodules, and unipotent Hopf algebras
Ãyvind Solberg, Kent B. Vashaw, Sarah Witherspoon
We initiate a program aimed at classifying thick ideals, Balmer spectra, and submodule categories of various stable categories of bimodules and modules for finite dimensional selfi…
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…