Phase spaces related to standard classical $r$-matrices
q-alg
2009-10-28 v1 Quantum Algebra
Abstract
Fundamental representations of real simple Poisson Lie groups are Poisson actions with a suitable choice of the Poisson structure on the underlying (real) vector space. We study these (mostly quadratic) Poisson structures and corresponding phase spaces (symplectic groupoids).
Cite
@article{arxiv.q-alg/9511002,
title = {Phase spaces related to standard classical $r$-matrices},
author = {S. Zakrzewski},
journal= {arXiv preprint arXiv:q-alg/9511002},
year = {2009}
}
Comments
20 pages, LaTeX, no figures