Finite-dimensional simple Poisson modules

Details Finite-dimensional simple Poisson modules Finite-dimensional simple Poisson modules

2007-08-29

arxiv.org/abs/0708.3928v2

Mathematics

Rings and Algebras

Minor corrections and some reorganisation of material

Scientific paper

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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