Exponents of varieties of lie algebras with a nilpotent commutator subalgebra

DOI10.1080/00927879908826560zbMath0955.17002OpenAlexW2060804055MaRDI QIDQ4241653

Sergey Mishchenko, Victor M. Petrogradsky

Publication date: 9 January 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826560

zbMATH Keywords

Lie algebrasvarietiescodimension growth sequencesgrowth exponent of varietiesnilpotent commutator subalgebra

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30)

Related Items (14)

Codimension sequences and their asymptotic behavior ⋮ Codimension growth of Lie algebras with a generalized action ⋮ The growth of varieties of Leibniz algebras with nilpotent commutator subalgebra ⋮ On the codimension growth of almost nilpotent Lie algebras ⋮ Exponential generating functions and complexity of Lie varieties ⋮ Identities for Lie superalgebras with a nilpotent commutator subalgebra ⋮ Identities of unitary finite-dimensional algebras. ⋮ Combinatorics on binary words and codimensions of identities in left nilpotent algebras ⋮ New example of a variety of Lie algebras with fractional exponent ⋮ Non-integrality of the PI-exponent of special Lie algebras ⋮ On the codimension growth of finite-dimensional Lie algebras ⋮ An example of a variety of Lie algebras with a fractional exponent ⋮ On identities of infinite dimensional Lie superalgebras ⋮ Integrality of exponents of some abelian-by-nilpotent varieties of lie algebras

Cites Work

• The representations of \(S_n\) and explicit identities for P. I. algebras
• Existence of polynomial identities in $A \otimes \,_F B$

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