Quantization of formal classical dynamical r-matrices: the reductive case
Quantum Algebra
2007-05-23 v3
Abstract
In this paper we prove the existence of a formal dynamical twist quantization for any triangular and non-modified formal classical dynamical -matrix in the reductive case. The dynamical twist is constructed as the image of the dynamical -matrix by a -quasi-isomorphism. This quasi-isomorphism also allows us to classify formal dynamical twist quantizations up to gauge equivalence.
Keywords
Cite
@article{arxiv.math/0412042,
title = {Quantization of formal classical dynamical r-matrices: the reductive case},
author = {Damien Calaque},
journal= {arXiv preprint arXiv:math/0412042},
year = {2007}
}
Comments
13 pages, 1 section added (classification of dynamical twists), LaTeX, final version, to appear in Adv. Math