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

Mohsen Masmoudi (1) , Norbert Poncin (2)

1 IECN - Institut Élie Cartan de Nancy
2 Mathematics Laboratory

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.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Mohsen Masmoudi, Norbert Poncin. On general approach to the formal cohomology of quadratic Poisson structures.. Journal of Pure and Applied Algebra, 2007, 208, pp.887-904. ⟨10.1016/j.jpaa.2006.03.028⟩. ⟨hal-00092827⟩