A construction of Lie algebras and Lie superalgebras by Freudenthal-Kantor triple systems. I

DOI10.3792/PJAA.61.232zbMath0576.17002OpenAlexW2049539253MaRDI QIDQ1065135

Yoshiaki Kakiichi

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.232

zbMATH Keywords

Lie superalgebragraded Lie algebraLie triple systemFreudenthal-Kantor triple systemLie algebra of inner derivations

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Ternary compositions (17A40)

Related Items (1)

Representations of (α, β, γ) triple system

Cites Work

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• Another construction of Lie algebras by generalized Jordan triple systems of second order
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• Assoziative Tripelsysteme
• Simple anti-jordan pairs¹
• A Structure Theory of Lie Triple Systems

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