The extended Freudenthal Magic Square and Jordan algebras |
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Authors: | Isabel Cunha Alberto Elduque |
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Institution: | 1.Departamento de Matemática,Universidade da Beira Interior,Covilh?,Portugal;2.Departamento de Matemáticas,Universidad de Zaragoza,Zaragoza,Spain |
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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.
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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Keywords: | Primary 17B25 17B50 Secondary 17C20 |
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