Inner ideals and intrinsic subspaces of linear pair geometries

DOI10.1515/ADVGEOM.2008.004zbMath1217.17019arXivmath/0606448OpenAlexW2963072759MaRDI QIDQ3516746

Wolfgang Bertram, Harald Löwe

Publication date: 11 August 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606448

zbMATH Keywords

Jordan pairinner idealintrinsic subspaceflag geometriesgraded and filtered Lie algebraslinear and affine pair geometries

Mathematics Subject Classification ID

Geometry of classical groups (51N30) General theory of nonlinear incidence geometry (51B05) Idempotents, Peirce decompositions (17C27) Associated geometries of Jordan algebras (17C37)

Related Items (2)

Jordan Structures and Non-Associative Geometry ⋮ Is there a Jordan geometry underlying quantum physics?

Cites Work

• Diagonalization in Jordan pairs
• Complementation of inner ideals in Jordan pairs
• On the automorphism group of the generalized conformal structure of a symmetric \(R\)-space
• From linear algebra via affine algebra to projective algebra
• On the geometry of inner ideals
• Projective completions of Jordan pairs. I: The generalized projective geometry of a Lie algebra
• Elementary groups and stability for Jordan pairs
• Projective completions of Jordan pairs. II: Manifold structures and symmetric spaces
• Filtered jordan systems
• Generalized projective geometries: general theory and equivalence with Jordan structures

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