Finite-dimensional simple Poisson modules

David Jordan

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arXiv · 0708.3928

Finite-dimensional simple Poisson modules

David Jordan

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Abstract

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.

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David Jordan. 2007-11-20. Finite-dimensional simple Poisson modules. https://arxiv.org/abs/0708.3928

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