Quantization of symplectic dynamical r-matrices and the quantum composition formula
Quantum Algebra
2011-11-09 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0606498,
title = {Quantization of symplectic dynamical r-matrices and the quantum composition formula},
author = {Anton Alekseev and Damien Calaque},
journal= {arXiv preprint arXiv:math/0606498},
year = {2011}
}
Comments
15 pages, final version, appeared in CMP