Finite-dimensional simple Poisson modules

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We prove a result that can be applied to determine the finite-dimensional simple Poisson modules over a Poisson algebra and apply it to numerous examples. In the discussion of the examples, the emphasis is on the correspondence with the finite-dimensional simple modules over deformations and on the behaviour of finite-dimensional simple Poisson modules on the passage from a Poisson algebra to the Poisson subalgebra of invariants for the action of a finite group of Poisson automorphisms.
Minor corrections and some reorganisation of material

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Rings and Algebras, Quantum Algebra, 17B63, 16D60

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http://salesiana.dossiersoluciones.com/handle/123456789/142351

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3928
 http://arxiv.org/abs/0708.3928

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arXiv