Abstract
AbstractIn this chapter we consider weight homogeneous Poisson structures, the simplest of which (homogeneous Poisson structures of degree 0 or 1) have been considered in the previous chapters. Other distinguished classes of weight homogeneous Poisson structures, considered in this chapter, are quadratic Poisson structures (for which a partial classification is given, with the help of the modular vector field), rank two Poisson structures arizing from weight homogeneous Nambu–Poisson structures and the transverse Poisson structures to adjoint orbits in a semi-simple Lie algebra.KeywordsPoisson StructureVector Space VersusNilpotent OrbitFundamental IdentityCasimir FunctionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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