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arxiv: math/0505386 · v2 · submitted 2005-05-18 · 🧮 math.SG

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

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keywords cohomologyapproachformalgeneralpoissonquadraticstructurestructures
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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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