nLab
F4

Context

Group Theory

Lie theory

∞-Lie theory

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Contents

Idea

One of the exceptional Lie groups.

References

General

(…)

Cohomological properties:

  • Y. Cchoi, S. Yoon, Homology of the triple loop space of the exceptional Lie group F 4F_4, J. Korean Math. Soc. 35 (1998), No. 1, pp. 149–164 (pdf)

In string theory

That the group F 4F_4 controls the massless degrees of freedom of 11-dimensional supergravity was observed and explored in

Revised on September 2, 2013 23:39:19 by Urs Schreiber (89.204.130.58)