On minimal Poisson algebras

DOI10.3103/S1066369X15110067zbMath1359.17035MaRDI QIDQ906417

N. E. Zubov

Publication date: 21 January 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomial growthPoisson algebravariety of algebraspolynomial identitycodimension growth

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) Poisson algebras (17B63) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

Numerical characteristics of varieties of Poisson algebras ⋮ On extension of classical Baer results to Poisson algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Equivalent conditions of polynomial growth of a variety of Poisson algebras
• Poisson algebras of polynomial growth
• Necessary and sufficient conditions of polynomial growth of varieties of Leibniz-Poisson algebras
• Exact asymptotic behaviour of the codimensions of some P.I. algebras
• Varieties of almost polynomial growth: classifying their subvarieties.
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Existence of identities in \(A \otimes B\)
• On the lee and associative codimensions growth
• Poisson PI algebras