A geometric construction of the exceptional Lie algebras F4 and E8

Jos\'e Figueroa-O'Farrill

A geometric construction of the exceptional Lie algebras F4 and E8

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arxiv 0706.2829 v1 pith:G5HQUAFE submitted 2007-06-19 math.DG hep-thmath.RT

José Figueroa-O'Farrill This is my paper

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keywords constructionalgebrasexceptionalgeometricsupergravitybackgroundinspiredkilling

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We present a geometric construction of the exceptional Lie algebras F4 and E8 starting from the round 8- and 15-spheres, respectively, inspired by the construction of the Killing superalgebra of a supersymmetric supergravity background. (There is no supergravity in the paper.)

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