R-Matrix Poisson Algebras and Their Deformations
Quantum Algebra
2007-06-05 v1 Representation Theory
Abstract
We classify in this paper Poisson structures on modules over semisimple Lie algebras arising from classical r-matrices. We then study their quantizations and the relation to classical invariant theory.
Keywords
Cite
@article{arxiv.0706.0351,
title = {R-Matrix Poisson Algebras and Their Deformations},
author = {Sebastian Zwicknagl},
journal= {arXiv preprint arXiv:0706.0351},
year = {2007}
}