Compatible Poisson-Lie structures on the loop group of $SL_{2}$
q-alg
2009-10-28 v1 Quantum Algebra
Abstract
We define a 1-parameter family of -matrices on the loop algebra of , defining compatible Poisson structures on the associated loop group, which degenerate into the rational and trigonometric structures, and study the Manin triples associated to them.
Keywords
Cite
@article{arxiv.q-alg/9512011,
title = {Compatible Poisson-Lie structures on the loop group of $SL_{2}$},
author = {B. Enriquez and V. N. Rubtsov},
journal= {arXiv preprint arXiv:q-alg/9512011},
year = {2009}
}
Comments
5 pages, amstex, no figures