nLab
exceptional Lie group

Context

Group Theory

\infty-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

The classification of simple Lie groups consists of four infinite series – the classical Lie groups, and five exceptional Lie groups, called

On the level of Kac-Moody Lie algebras/Kac-Moody groups the E-series continues as

References

Lie groups

Lie algebras

The following are references on the Lie algebras underlying exceptional Lie groups.

Surveys include

  • wikipedia, En

  • J. R. Faulkner, J. C. Ferrar, Exceptional Lie algebras and related algebraic and geometric structures, (pdf)

Geometric constructions of exceptional Lie algebras are discussed in

Cohomological properties are discussed in

  • Skip Garibaldi, Cohomological invariants: Exceptional groups and spin groups Memoirs of the AMS 937 (2009)

Revised on December 14, 2012 17:56:36 by Urs Schreiber (71.195.68.239)