Mathematical Research Letters
Volume 13 (2006)
A note on equivariant normal forms of Poisson structures
Pages: 1001 – 1012
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.