Main Page | See live article | Alphabetical index 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. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.