36 citations · 157 across the 53 of their papers we have counts for
63 papers
Noncommutative tensor triangular geometry: modules, bimodules, and unipotent Hopf algebras
Øyvind 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…
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…
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…
Support varieties without the tensor product property
Petter Andreas Bergh, Julia Yael Plavnik, Sarah Witherspoon
We show that over a perfect field, every non-semisimple finite tensor category with finitely generated cohomology embeds into a larger such category where the tensor product proper…
Support varieties for finite tensor categories: the tensor product property
Petter Andreas Bergh, Julia Yael Plavnik, Sarah Witherspoon
We show that in a finite tensor category, the tensor product property holds for support varieties if and only if it holds between indecomposable periodic objects. We apply this to…
Lie brackets on Hopf algebra cohomology
Tekin Karadağ, Sarah Witherspoon
By work of Farinati, Solberg, and Taillefer, it is known that the Hopf algebra cohomology of a quasi-triangular Hopf algebra, as a graded Lie algebra under the Gerstenhaber bracket…