R-matrix Poisson algebras and their deformations

• Autores: Sebastian Zwicknagl
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 1, 2009, págs. 1-58
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.08.006
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• Resumen

  • 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