Geodesic
Correlation of Poisson Algebras and Lie Algebras in the Language of Identities
Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 567-577

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In the paper, the varieties of Poisson algebras whose ideals of identities contain the identity $\{x,y\}\cdot\{z,t\}=0$ are studied, and the correlation of these varieties with varieties of Lie algebras is investigated. A variety of Poisson algebras of almost exponential growth is presented. An example of a variety of Poisson algebras with fractional exponent is also given.
Mots-clés : Poisson algebra
Keywords: Lie algebra, ideal of identities, variety of algebras, almost exponential growth, Specht variety. 
S. M. Ratseev. Correlation of Poisson Algebras and Lie Algebras in the Language of Identities. Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 567-577. http://geodesic.mathdoc.fr/item/MZM_2014_96_4_a7/
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