F₄ is the name of a Lie group (and also its Lie algebra). It is one of the exceptional simple Lie groups.

Table of contents

1 Roots of F4 1.1 Simple roots 2 Weyl/Coxeter group 3 Cartan matrix

Roots of F₄

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.