Another construction of real simple Lie algebras

DOI10.2996/KMJ/1138036670zbMath0521.17006OpenAlexW2132109669MaRDI QIDQ1055536

Kenji Atsuyama

Publication date: 1983

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/329ff396743ac93c80ad5cd87dfae3dc0be67e7d

zbMATH Keywords

Cayley algebraexceptional Lie algebrasinvolutive automorphismsreal simple Lie algebrasconstruction of Lie algebras

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20)

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The connection between the symmetric space \(E_ 6/SO(10)\cdot SO(2)\) and projective planes ⋮ Projective spaces in a wider sense. I ⋮ A “magic” approach to octonionic Rosenfeld spaces ⋮ The connection between the symmetric space \(E_ 8/Ss(16)\) and projective planes ⋮ The connection between the symmetric space \(E_ 7/SO(12)\cdot SO(3)\) and projective planes ⋮ Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections

Cites Work

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• Symmetric spaces derived from algebras
• Lie groups in the foundations of geometry

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