Mathematical Research Letters

Volume 13 (2006)

Number 6

A note on equivariant normal forms of Poisson structures

Pages: 1001 – 1012



Eva Miranda

Nguyen Tien Zung


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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