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Equation de Yang-Baxter et quantification des cocycles. (The Yang-Baxter equation and quantization of cocycles). (French) Zbl 0719.17005
The author constructs on a Lie algebra or on a Poisson algebra a cocyle associated with a solution of the classical Yang-Baxter equation. He also forms a quantum analogue of this cocycle.

MSC:
17B37 Quantum groups (quantized enveloping algebras) and related deformations
17B66 Lie algebras of vector fields and related (super) algebras
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
57S25 Groups acting on specific manifolds
17B05 Structure theory for Lie algebras and superalgebras
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