Jordan Structures and Non-Associative Geometry

DOI10.1007/978-0-8176-4741-4_7zbMath1261.17029arXiv0706.1406OpenAlexW1482300642MaRDI QIDQ2999934

Wolfgang Bertram

Publication date: 18 May 2011

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1406

zbMATH Keywords

graded Lie algebraJordan pairnon-associative algebraLie triple systemfiltered Lie algebranon-associative geometrygeneralized projective geometryflag geometry

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Associated geometries of Jordan algebras (17C37)

Related Items (1)

Lie Calculus

Cites Work

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• Generalized flag geometries and manifolds associated to short \(\mathbb Z\)-graded Lie algebras in arbitrary dimension
• Complementation of inner ideals in Jordan pairs
• A taste of Jordan algebras
• The geometry of Jordan and Lie structures
• From linear algebra via affine algebra to projective algebra
• The geometry of null systems, Jordan algebras and von Staudt's theorem.
• 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
• Inner ideals and intrinsic subspaces of linear pair geometries
• A Characterization of Inner Ideals in JB ∗ -Triples
• Elementary groups and invertibility for kantor pairs
• Generalized projective geometries: general theory and equivalence with Jordan structures
• Differential geometry, Lie groups and symmetric spaces over general base fields and rings

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