**F**is the name of a Lie group (and also its Lie algebra). It is one of the exceptional simple Lie groups.

_{4}

Table of contents |

_{4}2 Weyl/Coxeter group 3 Cartan matrix |

## Roots of F_{4}

### Simple roots

## Weyl/Coxeter group

Its Weyl/Coxeter group is the symmetry group of the 24-cell.## Cartan matrix

See also Simple Lie group, Lie group, Weyl group, Dynkin diagram.