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A Geometric Construction of the Exceptional Lie Algebras F 4 and E 8

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Abstract

We present a geometric construction of the exceptional Lie algebras F 4 and E 8 starting from the round spheres S 8 and S 15, respectively, inspired by the construction of the Killing superalgebra of a supersymmetric supergravity background.

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Authors and Affiliations

  1. Maxwell Institute and School of Mathematics, University of Edinburgh, Edinburgh, UK

    José Figueroa-O’Farrill

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  1. José Figueroa-O’Farrill
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Correspondence to José Figueroa-O’Farrill.

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Communicated by G.W. Gibbons

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Figueroa-O’Farrill, J. A Geometric Construction of the Exceptional Lie Algebras F 4 and E 8 . Commun. Math. Phys. 283, 663–674 (2008). https://doi.org/10.1007/s00220-008-0581-7

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  • DOI: https://doi.org/10.1007/s00220-008-0581-7

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