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arXiv · 0706.2829

A geometric construction of the exceptional Lie algebras F4 and E8

José Figueroa-O'Farrill
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Abstract

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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José Figueroa-O'Farrill. 2007-06-19. A geometric construction of the exceptional Lie algebras F4 and E8. https://doi.org/10.1007/s00220-008-0581-7

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