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A note on equivariant normal forms of Poisson structures

Eva Miranda·Nguyen Tien Zung
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Abstract

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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Eva Miranda, Nguyen Tien Zung. 2005-10-25. A note on equivariant normal forms of Poisson structures. https://arxiv.org/abs/math/0510523

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