English

A geometric construction of the exceptional Lie algebras F4 and E8

Differential Geometry 2014-11-18 v1 High Energy Physics - Theory Representation Theory

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.)

Keywords

Cite

@article{arxiv.0706.2829,
  title  = {A geometric construction of the exceptional Lie algebras F4 and E8},
  author = {José Figueroa-O'Farrill},
  journal= {arXiv preprint arXiv:0706.2829},
  year   = {2014}
}

Comments

12 pages