The connection between the symmetric space \(E_ 8/Ss(16)\) and projective planes

DOI10.2996/kmj/1138038937zbMath0747.53042OpenAlexW2019866891MaRDI QIDQ1812576

Kenji Atsuyama

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.2996/kmj/1138038937

zbMATH Keywords

exceptional Lie groupsmodel spacesCayley algebrasrepresentative spaces

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Differential geometry of symmetric spaces (53C35) Nonassociative division algebras (17A35)

Related Items (1)

Projective spaces in a wider sense. I

Cites Work

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• Another construction of real simple Lie algebras
• The connection between the symmetric space \(E_ 6/SO(10)\cdot SO(2)\) and projective planes
• Totally geodesic submanifolds of symmetric spaces. II
• The connection between the symmetric space \(E_ 7/SO(12)\cdot SO(3)\) and projective planes
• Lie groups in the foundations of geometry
• Homogeneous spaces defined by Lie group automorphisms. I

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