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Differential calculus on Jordan algebras and Jordan modules

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Having in mind applications to particle physics we develop the differential calculus over Jordan algebras and the theory of connections on Jordan modules. In particular we focus on differential calculus over the exceptional Jordan algebra and provide a complete characterization of the theory of connections for free Jordan modules.

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Authors and Affiliations

  1. Scuola Internazionale Superiore di Studi Avanzati (SISSA), Via Bonomea 265, 34136, Trieste, Italy

    Alessandro Carotenuto & Ludwik Dąbrowski

  2. Laboratoire de Physique Théorique, CNRS, Université Paris-Sud, Université Paris-Saclay, Bâtiment 210, 91405, Orsay, France

    Michel Dubois-Violette

Authors
  1. Alessandro Carotenuto
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  2. Ludwik Dąbrowski
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  3. Michel Dubois-Violette
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Correspondence to Michel Dubois-Violette.

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Carotenuto, A., Dąbrowski, L. & Dubois-Violette, M. Differential calculus on Jordan algebras and Jordan modules. Lett Math Phys 109, 113–133 (2019). https://doi.org/10.1007/s11005-018-1102-z

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  • DOI: https://doi.org/10.1007/s11005-018-1102-z

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