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Quantum Group Actions, Twisting Elements, and Deformations of Algebras

2005/03/15 by Georgia Benkart, Benkart, Georgia, Sarah Witherspoon +1
Mathematics · #16S80 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.QA #math.RA #math.RT #msc:16S80 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/0503310

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

arxiv created 2005/12/08 · arxiv updated 2009/12/01

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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