Quantum Group Actions, Twisting Elements, and Deformations of Algebras
Quantum Algebra
2007-05-23 v2 Rings and Algebras
Representation Theory
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.
Cite
@article{arxiv.math/0503310,
title = {Quantum Group Actions, Twisting Elements, and Deformations of Algebras},
author = {Georgia Benkart and Sarah Witherspoon},
journal= {arXiv preprint arXiv:math/0503310},
year = {2007}
}
Comments
revised version -- incorporates some minor changes over previous arXiv version