Yang-Baxter equation and deformation of associative and Lie algebras
We construct some cocycles (Hochschild and cyclic ones) connected with a classical R-matrix on associative and Lie algebras and “quantize” them. We treat “S-traces” (S is a solution of Yang-Baxter equation) on deformed algebras as a result of the quantization. The generalization of this construction is discussed.
KeywordsQuantum Group Poisson Bracket Associative Algebra Tensor Category Associative Structure
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