On the codimension growth of finite-dimensional Lie algebras

DOI10.1006/jabr.1999.7933zbMath0938.17004OpenAlexW2065724862WikidataQ115395803 ScholiaQ115395803MaRDI QIDQ1818863

Antonio Giambruno, Amitai Regev, Mikhail V. Zaicev

Publication date: 2 May 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7933

zbMATH Keywords

codimension growthvarieties of Lie algebras

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01)

Related Items (13)

Codimension sequences and their asymptotic behavior ⋮ The mathematics of Amitai Regev ⋮ Algebras with intermediate growth of the codimensions. ⋮ Codimension growth of Lie algebras with a generalized action ⋮ ℤ2-graded codimensions of unital algebras ⋮ Nilpotent varieties and metabelian varieties ⋮ Identities of graded simple algebras ⋮ On the codimension growth of almost nilpotent Lie algebras ⋮ Graded identities of some simple Lie superalgebras ⋮ Identities for Lie superalgebras with a nilpotent commutator subalgebra ⋮ Codimension growth of solvable Lie superalgebras ⋮ On identities of infinite dimensional Lie superalgebras ⋮ Integrality of exponents of some abelian-by-nilpotent varieties of lie algebras

Cites Work

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• Existence of identities in \(A \otimes B\)
• GROWTH OF FINITELY GENERATED POLYNILPOTENT LIE ALGEBRAS AND GROUPS, GENERALIZED PARTITIONS, AND FUNCTIONS ANALYTIC IN THE UNIT CIRCLE
• Exponents of varieties of lie algebras with a nilpotent commutator subalgebra
• Simple and semisimple Lie algebras and codimension growth

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