Varieties of polynomial growth of Lie algebras over a field of characteristic zero

DOI10.1007/BF01158347zbMath0624.17007OpenAlexW2010917859MaRDI QIDQ1092148

Sergey Mishchenko

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158347

zbMATH Keywords

polynomial growthcodimension sequencevariety of Lie algebras

Mathematics Subject Classification ID

Lattices of varieties (08B15) Infinite-dimensional Lie (super)algebras (17B65) Solvable, nilpotent (super)algebras (17B30) Lie algebras and Lie superalgebras (17B99)

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Codimension sequences and their asymptotic behavior ⋮ Codimension growth for weak polynomial identities, and non-integrality of the PI exponent ⋮ Commutator algebras arising from splicing operations ⋮ Codimension growth for polynomial identities of representations of Lie algebras ⋮ Necessary and sufficient conditions for a variety of Leibniz algebras to have polynomial growth ⋮ Growth in Poisson algebras ⋮ Varieties of solvable Lie algebras with a distributive lattice of subvarieties ⋮ Многообразия линейных алгебр полиномиального роста ⋮ Correlation of Poisson algebras and Lie algebras in the language of identities

Cites Work

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