Lie and Engel theorems for \(n\)-tuple Lie algebras

DOI10.1134/S0037446613030129zbMath1321.17005MaRDI QIDQ359373

Nikolai A. Koreshkov

Publication date: 12 August 2013

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

zbMATH Keywords

\(n\)-tuple Lie algebraexistence of Cartan subalgebras

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (4)

Tori in simple Lie pencils ⋮ Symmetrical simple Lie sheaves of rank 1 ⋮ Inner derivations of simple Lie pencils of rank 1 ⋮ Simple Lie sheaves of small dimension

Cites Work

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• Nilpotency of \(n\)-tuple Lie algebras and associative \(n\)-tuple algebras
• Triangulation of \(n\)-tuple solvable Lie algebras
• Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad

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