On Identical Relations in Free Polynilpotent Lie Algebras

DOI10.1112/jlms/s2-20.1.39zbMath0414.17008OpenAlexW1976618473MaRDI QIDQ3048982

Yu. A. Bakhturin

Publication date: 1979

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-20.1.39

zbMATH Keywords

basic rankidentical relationspolynilpotent varietiesvariety of solvable Lie algebras

Mathematics Subject Classification ID

Quasivarieties and varieties of groups (20E10) Lie algebras and Lie superalgebras (17B99)

Related Items (20)

Codimension growth for weak polynomial identities, and non-integrality of the PI exponent ⋮ Identities in group rings, enveloping algebras and Poisson algebras ⋮ Automorphic equivalence of many-sorted algebras ⋮ Graded PI-exponents of simple Lie superalgebras ⋮ Universal sums of abelian subalgebras ⋮ A linear basis of the free Akivis algebra ⋮ Unions of parafree Lie algebras ⋮ Nonassociative rings ⋮ Special varieties of Lie algebras ⋮ Gröbner-Shirshov bases for Vinberg-Koszul-Gerstenhaber right-symmetric algebras ⋮ Special Lie superalgebras with maximality condition for subalgebras ⋮ Polynilpotent components in the free Lie algebra and the wreath products of the cyclic ⋮ Polynomial identities of Banach algebras ⋮ Filtrations and distortion in infinite-dimensional algebras. ⋮ Semigroup graded algebras and graded PI-exponent ⋮ ON A FORMULA FOR THE PI-EXPONENT OF LIE ALGEBRAS ⋮ Group Gradings on Filiform Lie Algebras ⋮ Identities of algebras with actions of Hopf algebras ⋮ On existence of PI-exponents of unital algebras ⋮ Simple closed curves, finite covers of surfaces, and power subgroups of \(\mathrm{Out}(F_n)\)

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