On the Freudenthal's construction of exceptional Lie algebras

DOI10.3792/pja/1195518629zbMath0298.17010OpenAlexW2076919999MaRDI QIDQ4052315

Hiroshi Asano, Kiyosi Yamaguti

Publication date: 1975

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

Full work available at URL: https://doi.org/10.3792/pja/1195518629

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras and Lie superalgebras (17B99)

Related Items

Real simple symplectic triple systems, New simple Lie superalgebras in characteristic 3, A structure theory of Freudenthal-Kantor triple systems, Freudenthal gauge theory, The extended Freudenthal magic square and Jordan algebras, Special entangled fermionic systems and exceptional symmetries, The Fourier expansion of modular forms on quaternionic exceptional groups, On the peirce decompositions for freudenthal—kantor triple systems, Models of the Lie algebra \(F_4\), Homogeneous Einstein manifolds based on symplectic triple systems, Adjoint varieties and their secant varieties, Projective geometry of Freudenthal's varieties of certain type, Irreducible Lie-Yamaguti algebras of generic type, The magic square and symmetric compositions. II, Affine connections on 3-Sasakian homogeneous manifolds, Irreducible Lie-Yamaguti algebras, Dynkin diagrams and short Peirce gradings of Kantor pairs, Holonomy and 3-Sasakian homogeneous manifolds versus symplectic triple systems

Cites Work

• Jordan Tripelsysteme und die Koecher-Konstruktion von Lie Algebren
• A Structure Theory of Lie Triple Systems
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