Triangular dynamical r-matrices and quantization
نویسنده
چکیده
We study some general aspects of triangular dynamical r-matrices using Poisson geometry. We show that a triangular dynamical r-matrix r : h∗ −→ ∧g always gives rise to a regular Poisson manifold. Using the Fedosov method, we prove that non-degenerate triangular dynamical r-matrices (i.e., those such that the corresponding Poisson manifolds are symplectic) are quantizable, and that the quantization is classified by the relative Lie algebra cohomology H(g, h)[[~]].
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تاریخ انتشار 2008