Mathematical Research Letters

Volume 13, Issue 6, November 2006 pp. 1001-1012.

A note on equivariant normal forms of Poisson structures

Authors: Eva Miranda (1) and Nguyen Tien Zung (2)
Author institution: Université Toulouse III

Summary: 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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