Jordan algebras and dual affine connections on symmetric cones

DOI10.1007/s11117-004-7400-yzbMath1125.17014OpenAlexW2006370103MaRDI QIDQ1780503

Atsumi Ohara, Keiko Uohashi

Publication date: 13 June 2005

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-004-7400-y

zbMATH Keywords

Jordan algebrasymmetric conedoubly autoparallel submanifolddual affine connection

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Connections (general theory) (53C05)

Related Items (3)

Exponential arcs in the manifold of vector states on a \(\sigma\)-finite von Neumann algebra ⋮ Doubly autoparallel structure and curvature integrals. Applications to iteration complexity for solving convex programs ⋮ Unnamed Item

Cites Work

• Symmetric spaces with invariant locally Hessian structures
• Euclidean Jordan algebras and interior-point algorithms
• Estimation and testing for lattice conditional independence models on Euclidean Jordan algebras
• Differential-geometrical methods in statistics
• Dualistic differential geometry of positive definite matrices and its applications to related problems
• Homogeneous spaces with invariant projectively flat affine connections
• Unnamed Item

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