The connection between the symmetric space \(E_ 6/SO(10)\cdot SO(2)\) and projective planes

DOI10.2996/KMJ/1138037049zbMath0597.53043OpenAlexW3197821534MaRDI QIDQ1079197

Kenji Atsuyama

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2996/kmj/1138037049

zbMATH Keywords

Lie algebraprojective planecomposition algebrasreductive homogeneous spaceglobally symmetric spacemaximal flat tori

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Exceptional (super)algebras (17B25) Differential geometry of symmetric spaces (53C35) General properties and structure of real Lie groups (22E15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

Projective spaces in a wider sense. I ⋮ Projective spaces in a wider sense. II ⋮ Totally geodesic submanifolds of the exceptional Riemannian symmetric spaces of rank 2 ⋮ Geometry of symmetric spaces of type EIII ⋮ 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

Cites Work

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• Another construction of real simple Lie algebras
• Totally geodesic submanifolds of symmetric spaces. II
• Lie groups in the foundations of geometry
• Über eine Realisierung der hermitischen, symmetrischen Räume

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