Projective completions of Jordan pairs. II: Manifold structures and symmetric spaces

DOI10.1007/s10711-004-4197-6zbMath1101.17019arXivmath/0401236OpenAlexW2005652291MaRDI QIDQ2571712

Wolfgang Bertram, Karl-Hermann Neeb

Publication date: 14 November 2005

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401236

zbMATH Keywords

Lie groupsymmetric spaceJordan algebraJordan pairJordan tripleconformal completionprojective completion

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative topological algebras (46H70) Applications of Jordan algebras to physics, etc. (17C90) Associated groups, automorphisms of Jordan algebras (17C30) Associated manifolds of Jordan algebras (17C36)

Related Items

Information geometry, Jordan algebras, and a coadjoint orbit-like construction, Inner ideals and intrinsic subspaces of linear pair geometries, Divisible designs, Laguerre geometry, and beyond, Jordan Structures and Non-Associative Geometry, A topological Maslov index for 3-graded Lie groups, GEOMETRIC CHARACTERIZATION OF HERMITIAN ALGEBRAS WITH CONTINUOUS INVERSION, Cyclic orders defined by ordered jordan algebras, Towards a Lie theory of locally convex groups, Generalized flag geometries and manifolds associated to short \(\mathbb Z\)-graded Lie algebras in arbitrary dimension, Is there a Jordan geometry underlying quantum physics?

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