R-Matrix Poisson Algebras and Their Deformations

Details R-Matrix Poisson Algebras and Their Deformations R-Matrix Poisson Algebras and Their Deformations

2007-06-03

arxiv.org/abs/0706.0351v1

Mathematics

Quantum Algebra

50 pages

Scientific paper

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.

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