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- Title
Finite-Dimensional Simple Poisson Modules.
- Authors
David Jordan
- Abstract
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.
- Subjects
MODULES (Algebra); POISSON algebras; DIMENSIONAL analysis; FINITE groups; DEFORMATIONS (Mechanics); AUTOMORPHISMS; INVARIANTS (Mathematics)
- Publication
Algebras & Representation Theory, 2010, Vol 13, Issue 1, p79
- ISSN
1386-923X
- Publication type
Article
- DOI
10.1007/s10468-008-9104-7