Über Jordan-Algebren und kompakte Riemannsche symmetrische Räume vom Rang 1

DOI10.1007/BF01112353zbMath0139.39202MaRDI QIDQ2522372

Ulrich Hirzebruch

Publication date: 1965

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

Full work available at URL: https://eudml.org/doc/170490

zbMATH Keywords

Riemannian manifolds

Related Items (21)

On the classification of lie and jordan triple systems ⋮ Deformations of cones of primitive vectors ⋮ Grassmann manifold of a JH-algebra ⋮ Horofunction compactifications of symmetric cones under Finsler distances ⋮ Symmetric submanifolds of Euclidean space ⋮ Horofunction compactifications and duality ⋮ Spherical functions on symmetric cones ⋮ On the manifold of tripotents in \(JB^*\)-triples ⋮ Hessian potentials with parallel derivatives ⋮ Banach manifolds of algebraic elements in the algebra \(\mathcal L(H)\) of bounded linear operators ⋮ Composition Series and Intertwining Operators for the Spherical Principal Series. II ⋮ Transitivity of inner automorphisms in infinite dimensional Cartan factors ⋮ Über Jordan-Algebren und beschränkte symmetrische Gebiete ⋮ Conjugacy of idempotents in jordan pairs ⋮ Semisimple real Jordan algebras ⋮ Involutionen von Jordan-Algebren ⋮ Der Min-Max-Satz von E. Fischer für formal-reelle Jordan-Algebren ⋮ Jordan-Algebren und symmetrische Räume. I ⋮ Produkte positiver Elemente in formal-reellen Jordan-Algebren ⋮ Symmetric spaces of Hermitian type ⋮ The manifold of finite rank projections in the algebra \(\mathcal L(H)\) of bounded linear operators

Cites Work

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• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• A structure theory for Jordan algebras
• Über eine nicht-desarguessche ebene projektive Geometrie
• Two-point homogeneous spaces
• Homogeneous Sphere Bundles and the Isotropic Riemann Manifolds
• Morse Theory. (AM-51)
• Some groups of transformations defined by Jordan algebras. II. Groups of type F4.
• Some groups of Transformations defined by Jordan Algebras. III. Groups of Type E61.
• A duality in integral geometry; some generalizations of the Radon transform

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