R-Matrix Poisson Algebras and Their Deformations

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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.
50 pages

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Quantum Algebra, Representation Theory, 17B37; 17B63

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http://salesiana.dossiersoluciones.com/handle/123456789/129793

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0351
 http://arxiv.org/abs/0706.0351

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arXiv