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Jordan Algebras and Dual Affine Connections on Symmetric Cones

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Abstract

We study dually flat structures on symmetric cones associated with Jordan algebras. We give an interpretation of connections, a geometrical concept, in terms of Jordan algebras and show a relation between doubly autoparallel submanifolds and Jordan subalgebras.

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Authors and Affiliations

  1. Osaka Prefectural College of Technology and Osaka University, Osaka, Japan

    Keiko Uohashi & Atsumi Ohara

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  1. Keiko Uohashi
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  2. Atsumi Ohara
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Uohashi, K., Ohara, A. Jordan Algebras and Dual Affine Connections on Symmetric Cones. Positivity 8, 369–378 (2004). https://doi.org/10.1007/s11117-004-7400-y

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  • DOI: https://doi.org/10.1007/s11117-004-7400-y

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