On simple split Lie triple systems

DOI10.1007/s10468-009-9150-9zbMath1209.17003OpenAlexW2045812718MaRDI QIDQ838977

Antonio Jesús Calderón Martín

Publication date: 1 September 2009

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9150-9

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Ternary compositions (17A40)

Related Items (22)

Split 3-Leibniz algebras ⋮ On split Lie triple systems. II ⋮ On split Leibniz superalgebras ⋮ On the structure of graded Hilbert spaces ⋮ n-Algebras admitting a multiplicative basis ⋮ Quotients in graded Lie algebras. Martindale-like quotients for Kantor pairs and Lie triple systems ⋮ On graded associative algebras. ⋮ On the structure of split Lie color algebras ⋮ Arbitrary triple systems admitting a multiplicative basis ⋮ Associative algebras admitting a quasi-multiplicative basis. ⋮ On split regular Hom-Lie superalgebras ⋮ On split Lie color triple systems ⋮ \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis ⋮ On the structure of graded Leibniz triple systems ⋮ Leibniz triple systems admitting a multiplicative basis ⋮ On the structure of split Leibniz triple systems ⋮ Split regular Hom-Leibniz color 3-algebras ⋮ On split Leibniz algebras ⋮ On the Structure of Graded Leibniz Algebras ⋮ On split twisted inner derivation triple systems with no restrictions on their 0-root spaces ⋮ Split 3-Lie algebras ⋮ On split Lie superalgebras

Cites Work

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• Dynkin diagrams for Lie triple systems
• The structure of locally finite split Lie algebras
• Integrable roots in split graded Lie algebras
• On integrable roots in split Lie triple systems
• On Locally Finite Split Lie Triple Systems
• On involutive Lie algebras having a Cartan decomposition
• A Structure Theory of Lie Triple Systems

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