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arxiv: math/0503310 · v2 · submitted 2005-03-15 · 🧮 math.QA · math.RA· math.RT

Quantum Group Actions, Twisting Elements, and Deformations of Algebras

classification 🧮 math.QA math.RAmath.RT
keywords algebrasquantumelementsgroupsmoduler-matricestwistingtwo-parameter
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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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