Cyclic orders defined by ordered jordan algebras

zbMath1499.06055arXiv1706.09155MaRDI QIDQ4583905

Wolfgang Bertram

Publication date: 28 August 2018

Full work available at URL: https://arxiv.org/abs/1706.09155

zbMATH Keywords

partial orderinterval topologysymmetric conepartially ordered ringJordan geometrypartial cyclic orderpartially ordered Jordan algebra

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Ordered rings, algebras, modules (06F25) Associated geometries of Jordan algebras (17C37)

Cites Work

• Jordan pairs
• A taste of Jordan algebras
• The geometry of Jordan and Lie structures
• Lie semigroup associated to the symmetric cone
• Projective completions of Jordan pairs. I: The generalized projective geometry of a Lie algebra
• Elementary groups and stability for Jordan pairs
• A topological Maslov index for 3-graded Lie groups
• Projective completions of Jordan pairs. II: Manifold structures and symmetric spaces
• Jordan Geometries - an Approach by Inversions
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