Geodesic
Normal forms of Poisson structures
Matematičeskie zametki, Tome 61 (1997) no. 2, pp. 220-235

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In the paper, formal normal forms of Poisson structures are found. As a consequence, obstructions to the formal linearization of Poisson structures are obtained, which gives a generalization of the Weinstein linearization theorem. Lie–Sklyanin algebras corresponding to Poisson structures with trivial linearization are introduced and studied as well. 
@article{MZM_1997_61_2_a3,
     author = {O. V. Lychagina},
     title = {Normal forms of {Poisson} structures},
     journal = {Matemati\v{c}eskie zametki},
     pages = {220--235},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a3/}
}
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O. V. Lychagina. Normal forms of Poisson structures. Matematičeskie zametki, Tome 61 (1997) no. 2, pp. 220-235. http://geodesic.mathdoc.fr/item/MZM_1997_61_2_a3/