A geometric construction of the exceptional Lie algebras F4 and E8

2007/06/19 by José Figueroa-O'Farrill · 1 citation
Mathematics · Physics and Astronomy · #math.DG #hep-th #math.RT

paper · pdf · doi:10.1007/s00220-008-0581-7

published as Commun.Math.Phys.283:663-674,2008 · 12 pages

arxiv created 2007/06/19 · arxiv updated 2014/11/18

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.)

Cited by

• The bracket of the exceptional Lie algebra E8