Solvability of Finite-Dimensionaln-ary Commutative Leibniz Algebras of Characteristic 0

DOI10.1081/AGB-120016755zbMath1028.17001OpenAlexW2031313942MaRDI QIDQ4803348

Alexander P. Pozhidaev

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120016755

zbMATH Keywords

Leibniz algebrasolvable algebrasimple algebra\(n\)-ary algebrainner-derivation algebra

Mathematics Subject Classification ID

Leibniz algebras (17A32) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (7)

Commutativen-Ary Leibniz Algebras ⋮ ON NILPOTENT LEIBNIZ n-ALGEBRAS ⋮ The Frattini subalgebra of \(n\)-Lie algebras ⋮ Degenerations of Zinbiel and nilpotent Leibniz algebras ⋮ ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE A(n, n) ⋮ Split regular Hom-Leibniz color 3-algebras ⋮ ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE B(0,n)

Cites Work

• Leibniz and Lie algebra structures for Nambu algebra
• The theory of Lie superalgebras. An introduction
• Two classes of central simple \(n\)-Lie algebras
• Spinors in n Dimensions
• Introduction to Lie Algebras and Representation Theory

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