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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 2, Pages 217–242
(Mi fpm1727)
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This article is cited in 1 scientific paper (total in 1 paper)
Numerical characteristics of varieties of Poisson algebras
S. M. Ratseev Ulyanovsk State University
Abstract:
The paper is a survey of recent results of investigations on varieties of Poisson algebras. We give constructions of varieties of Poisson algebras with extremal properties, we give equivalent conditions for the polynomial codimension growth of a variety of Poisson algebras, we study varieties of Poisson algebras whose ideals of identities contain the identity $\{x,y\}\cdot \{z,t\}=0$, and we study an interrelation between such varieties and varieties of Lie algebras.
Citation:
S. M. Ratseev, “Numerical characteristics of varieties of Poisson algebras”, Fundam. Prikl. Mat., 21:2 (2016), 217–242; J. Math. Sci., 237:2 (2019), 304–322
Linking options:
https://www.mathnet.ru/eng/fpm1727 https://www.mathnet.ru/eng/fpm/v21/i2/p217
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Abstract page: | 282 | Full-text PDF : | 127 | References: | 30 |
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