Geodesic
Cohomology of a Poisson Algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 2, pp. 179-196

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We propose a technique for calculating the cohomology of a Poisson algebra using the Laplace transformation of distributions with compact support. We find the lowest-order cohomologies of this algebra with coefficients in two natural representations: the trivial and the adjoint representations.
Mots-clés : Lie algebras, Poisson algebras
Keywords: cohomology. 
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     author = {V. V. Zharinov},
     title = {Cohomology of a {Poisson} {Algebra}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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V. V. Zharinov. Cohomology of a Poisson Algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 2, pp. 179-196. http://geodesic.mathdoc.fr/item/TMF_2003_136_2_a0/