2 citations · 3 across the 5 of their papers we have counts for
8 papers
Twisted Graded Hecke Algebras
Sarah J. Witherspoon
We generalize graded Hecke algebras to include a twisting two-cocycle for the associated finite group. We give examples where the parameter spaces of the resulting twisted graded H…
Skew Derivations and Deformations of a Family of Group Crossed Products
Sarah J. Witherspoon
We obtain deformations of a crossed product of a polynomial algebra with a group, under some conditions, from universal deformation formulas. We show that the resulting deformation…
Quantum Group Actions, Twisting Elements, and Deformations of Algebras
Georgia Benkart, Sarah Witherspoon
We construct twisting elements for module algebras of restricted two-parameter quantum groups from factors of their R-matrices. We generalize the theory of Giaquinto and Zhang to u…
Products in Hochschild cohomology and Grothendieck rings of group crossed products
Sarah J. Witherspoon
We give a general construction of rings graded by the conjugacy classes of a finite group. Some examples of our construction are the Hochschild cohomology ring of a finite group al…
Algebraic deformations arising from orbifolds with discrete torsion
Andrei Caldararu, Anthony Giaquinto, Sarah Witherspoon
We develop methods for computing Hochschild cohomology groups and deformations of crossed product rings. We use these methods to find deformations of a ring associated to a particu…
Representations of Two-Parameter Quantum Groups and Schur-Weyl Duality
Georgia Benkart, Sarah Witherspoon
We determine the finite-dimensional simple modules for two-parameter quantum groups corresponding to the general linear and special linear Lie algebras gl_n and sl_n, and give a co…