The magic square and symmetric compositions. II

DOI10.4171/RMI/486zbMath1145.17005MaRDI QIDQ997808

Alberto Elduque

Publication date: 7 August 2007

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1180728885

zbMATH Keywords

trialitysymmetric composition algebraexceptional Lie algebraFreudenthal magic square

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Composition algebras (17A75)

Related Items (11)

Real simple symplectic triple systems ⋮ New simple Lie superalgebras in characteristic 3 ⋮ The extended Freudenthal magic square and Jordan algebras ⋮ Lie algebras with \(S_4\)-action and structurable algebras ⋮ Models of the Lie algebra \(F_4\) ⋮ Homogeneous Einstein manifolds based on symplectic triple systems ⋮ CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS ⋮ Minuscule embeddings ⋮ An extended Freudenthal magic square in characteristic 3 ⋮ Dynkin diagrams and short Peirce gradings of Kantor pairs ⋮ Wrapped Branes as Qubits

Cites Work

• Les algèbres de Lie simples associées aux groupes simples algébriques sur un corps de caractéristique \(p>0\)
• Composition algebras and their automorphisms
• Nonassociative coefficient algebras for Steinberg unitary Lie algebras
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Symmetric composition algebras
• Lie algebras with triality
• Magic squares and matrix models of Lie algebras.
• Quasialgebra structure of the octonions
• Triality, exceptional Lie algebras and Deligne dimension formulas.
• The magic square and symmetric compositions
• On the Freudenthal's construction of exceptional Lie algebras
• The octonions
• THE AUTOMORPHISMS GROUP OF THE MULTIPLICATIVE CARTAN DECOMPOSITION OF LIE ALGEBRA E₈
• Composition algebras with associative bilinear form
• On flexible composition algebras
• A Construction of Lie Algebras from a Class of Ternary Algebras
• Strictly Regular Elements in Freudenthal Triple Systems
• Flexible composition algebras and okubo algebras
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