Analogs of the Cartan criteria for \(n\)-Lie algebras

DOI10.1007/BF02341871zbMath0860.17001OpenAlexW2035820107WikidataQ115392470 ScholiaQ115392470MaRDI QIDQ1918780

Sh. M. Kasymov

Publication date: 25 August 1996

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187725

zbMATH Keywords

solvablesemisimple\(n\)-Lie algebrasCartan's criteriaKuz'min radical

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (4)

Cartan-Weyl 3-algebras and the BLG theory. II: Strong-semisimplicity and generalized Cartan-Weyl 3-algebras ⋮ Solvability in representations of \(n\)-Lie algebras ⋮ k-Leibniz algebras from lower order ones: From Lie triple to Lie ℓ-ple systems ⋮ Contractions of Filippov algebras

Cites Work

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