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On a general approach to the formal cohomology of quadratic Poisson structures

Mohsen Masmoudi, Norbert Poncin

math.SGarXiv:math/0505386

Abstract

We propose a general approach to the formal Poisson cohomology of r-matrix induced quadratic structures, we apply this device to compute the cohomology of structure 2 of the Dufour-Haraki classification, and provide complete results also for the cohomology of structure 7.

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