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Quantum Group Actions, Twisting Elements, and Deformations of Algebras

Georgia Benkart·Sarah Witherspoon
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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.

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Georgia Benkart, Sarah Witherspoon. 2005-12-08. Quantum Group Actions, Twisting Elements, and Deformations of Algebras. https://arxiv.org/abs/math/0503310

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