Charakterisierung symmetrischer R-Räume durch ihre Einheitsgitter. (Characterization of symmetric R-spaces by their unit lattices)

DOI10.1007/BF01175045zbMath0583.53044MaRDI QIDQ1069144

Ottmar Loos

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173577

zbMATH Keywords

semisimple Lie groupcompact symmetric spacesymmetric R-spaceJordan triple system

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of symmetric spaces (53C35) Ternary compositions (17A40)

Related Items (14)

On real forms of JB\(^*\)-triples ⋮ The algebra of generalized Jacobi fields ⋮ The intersection of two real forms in Hermitian symmetric spaces of compact type ⋮ Convexity of reflective submanifolds in symmetric \(R\)-spaces ⋮ Modular geodesics and wedge domains in non-compactly causal symmetric spaces ⋮ Complexifications of symmetric spaces and Jordan theory ⋮ Structure of the degenerate principal series on symmetric \(R\)-spaces and small representations ⋮ Unnamed Item ⋮ Two-number of symmetric R-spaces ⋮ Algebra and geometry of three-webs composed of foliations of different dimensions ⋮ Circles in self dual symmetric \(R\)-spaces ⋮ P. A. Shirokov's work on the geometry of symmetric spaces ⋮ Intertwining operators for the generalized principal series on a symmetric 𝑅-space ⋮ Maximal tori of extrinsic symmetric spaces and meridians

Cites Work

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• Symmetric submanifolds of Euclidean space
• Homogeneous algebraic varieties defined by Jordan pairs
• Automorphismes et déformations des variétés de Borel
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Groupes reductifs
• Minimal imbeddings of R-spaces
• Gruppen und Lie-Algebren von rationalen Funktionen
• Zur Konstruktion von Lie-Algebren aus Jordan-Tripelsystemen
• On algebraic groups defined by Jordan pairs
• Jordan triple systems, 𝑅-spaces, and bounded symmetric domains

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