The magic square and symmetric compositions

DOI10.4171/RMI/397zbMath1106.17011arXivmath/0507282MaRDI QIDQ1884180

Alberto Elduque

Publication date: 25 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0507282

zbMATH Keywords

Freudenthal-Tits magic square

Mathematics Subject Classification ID

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

Related Items (15)

The extended Freudenthal magic square and Jordan algebras ⋮ Lie algebras with \(S_4\)-action and structurable algebras ⋮ Gradings on symmetric composition algebras ⋮ Weyl groups of some fine gradings on \(\mathfrak{e}_6\) ⋮ A “magic” approach to octonionic Rosenfeld spaces ⋮ From octonions to composition superalgebras via tensor categories ⋮ Models of the Lie algebra \(F_4\) ⋮ Minuscule embeddings ⋮ An extended Freudenthal magic square in characteristic 3 ⋮ Ternary derivations of finite-dimensional real division algebras ⋮ On the Real Forms of the Exceptional Lie Algebra 𝔢 6 $$\mathfrak{e}_{6}$$ and Their Satake Diagrams ⋮ Division composition algebras through their derivation algebras ⋮ The magic square and symmetric compositions. II ⋮ A geometrical interpretation of Okubo spin group ⋮ Gradings on the real forms of the Albert algebra, of g2, and of f4

Cites Work

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• 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
• Magic squares and matrix models of Lie algebras.
• On triality and automorphisms and derivations of composition algebras
• On the Cartan-Jacobson theorem
• Triality, exceptional Lie algebras and Deligne dimension formulas.
• Lie groups in the foundations of geometry
• Okubo algebras in characteristic 3 and their automorphisms
• Composition algebras with associative bilinear form
• On flexible composition algebras
• Local triality and some related algebras

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