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R-Matrix Poisson Algebras and Their Deformations

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arxiv 0706.0351 v1 pith:YFA4TNQY submitted 2007-06-03 math.QA math.RT

R-Matrix Poisson Algebras and Their Deformations

Sebastian Zwicknagl This is my paper
classification math.QA math.RT
keywords algebrasclassicalpoissonarisingclassifydeformationsinvariantmodules
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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.

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  1. On a symplectic quantum Howe duality

    math.RT 2023-03 unverdicted novelty 7.0

    Proves nonsemisimple quantum Howe duality for Sp(2n) and SL(2) on exterior algebra of type C, with character formulas and canonical bases.