Quantization of symplectic dynamical r-matrices and the quantum composition formula
arXiv:math/0606498 · doi:10.1007/s00220-007-0245-z
Abstract
In this paper we quantize symplectic dynamical r-matrices over a possibly nonabelian base. The proof is based on the fact that the existence of a star-product with a nice property (called strong invariance) is sufficient for the existence of a quantization. We also classify such quantizations and prove a quantum analogue of the classical composition formula for coboundary dynamical r-matrices.
15 pages, final version, appeared in CMP