Finite-dimensional simple Poisson modules
Rings and Algebras
2007-11-20 v2 Quantum Algebra
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.
Cite
@article{arxiv.0708.3928,
title = {Finite-dimensional simple Poisson modules},
author = {David Jordan},
journal= {arXiv preprint arXiv:0708.3928},
year = {2007}
}
Comments
Minor corrections and some reorganisation of material