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The extended Freudenthal Magic Square and Jordan algebras

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Abstract

The Lie superalgebras in the extended Freudenthal Magic Square in characteristic 3 are shown to be related to some known simple Lie superalgebras, specific to this characteristic, constructed in terms of orthogonal and symplectic triple systems, which are defined in terms of central simple degree three Jordan algebras.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade da Beira Interior, 6200, Covilhã, Portugal

    Isabel Cunha

  2. Departamento de Matemáticas, Universidad de Zaragoza, 50009, Zaragoza, Spain

    Alberto Elduque

Authors
  1. Isabel Cunha
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  2. Alberto Elduque
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Corresponding author

Correspondence to Alberto Elduque.

Additional information

I. Cunha was supported by CMUC, Department of Mathematics, University of Coimbra.

A. Elduque was supported by the Spanish Ministerio de Educación y Ciencia and FEDER (MTM 2004-081159-C04-02) and by the Diputación General de Aragón (Grupo de Investigación de Álgebra).

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Cunha, I., Elduque, A. The extended Freudenthal Magic Square and Jordan algebras. manuscripta math. 123, 325–351 (2007). https://doi.org/10.1007/s00229-007-0099-x

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  • DOI: https://doi.org/10.1007/s00229-007-0099-x

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