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math.RT2005
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…
math.RA2005
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…
math.QA2005
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…