Trigonometric dynamical r-matrices over Poisson Lie base
Quantum Algebra
2009-11-10 v1
Abstract
Let be a finite dimensional complex Lie algebra and a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra . Let be an open domain parameterizing a neighborhood of the identity in by the exponential map. We present dynamical -matrices with values in over the Poisson Lie base manifold .
Keywords
Cite
@article{arxiv.math/0403207,
title = {Trigonometric dynamical r-matrices over Poisson Lie base},
author = {A. Mudrov},
journal= {arXiv preprint arXiv:math/0403207},
year = {2009}
}
Comments
AMS LaTeX, 8 pages