A note on equivariant normal forms of Poisson structures

Details A note on equivariant normal forms of Poisson structures A note on equivariant normal forms of Poisson structures

2005-10-25

arxiv.org/abs/math/0510523v2

Mathematics

Symplectic Geometry

14 pages

Scientific paper

We prove an equivariant version of the local splitting theorem for tame
Poisson structures and Poisson actions of compact Lie groups. As a consequence,
we obtain an equivariant linearization result for Poisson structures whose
transverse structure has semisimple linear part of compact type.

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