Abstract
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.
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References
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© 1992 Springer-Verlag
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Gurevich, D., Rubtsov, V. (1992). Yang-Baxter equation and deformation of associative and Lie algebras. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101177
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DOI: https://doi.org/10.1007/BFb0101177
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