A geometric construction of the exceptional Lie algebras F4 and E8
arXiv:0706.2829 · doi:10.1007/s00220-008-0581-7
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.)
12 pages