6 citations · 15 across the 14 of their papers we have counts for
4 papers · 1 filter
Finite groups acting linearly: Hochschild cohomology and the cup product
Anne V. Shepler, Sarah Witherspoon
When a finite group acts linearly on a complex vector space, the natural semi-direct product of the group and the polynomial ring over the space forms a skew group algebra. This al…
Quantum differentiation and chain maps of bimodule complexes
Anne V. Shepler, Sarah Witherspoon
We consider a finite group acting on a vector space and the corresponding skew group algebra generated by the group and the symmetric algebra of the space. This skew group algebra…
Yetter-Drinfeld modules under cocycle twists
Georgia Benkart, Mariana Pereira, Sarah Witherspoon
We give an explicit formula for the correspondence between simple Yetter-Drinfeld modules for certain finite-dimensional pointed Hopf algebras and those for cocycle twists $H^σ…
Hopf quivers and Nichols algebras in positive characteristic
Claude Cibils, Aaron Lauve, Sarah Witherspoon
We apply a combinatorial formula of the first author and Rosso, for products in Hopf quiver algebras, to determine the structure of Nichols algebras. We illustrate this technique b…