Quantum Group Actions, Twisting Elements, and Deformations of Algebras

Abstract

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 universal deformation formulas for categories of module algebras and give examples arising from R-matrices of two-parameter quantum groups.

revised version -- incorporates some minor changes over previous arXiv version