Quantum Group Actions, Twisting Elements, and Deformations of Algebras

Details Quantum Group Actions, Twisting Elements, and Deformations of Algebras Quantum Group Actions, Twisting Elements, and Deformations of Algebras

2005-03-15

arxiv.org/abs/math/0503310v2

Mathematics

Quantum Algebra

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

Scientific paper

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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