# nLab exceptional Lie algebra

Contents

## Philosophy

#### Lie theory

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Related topics

Examples

$\infty$-Lie groupoids

$\infty$-Lie groups

$\infty$-Lie algebroids

$\infty$-Lie algebras

# Contents

## Idea

The exceptional Lie algebras are the exceptional structures among the simple Lie algebras:

The classification of the simple Lie algebras consists of a few infinite series together with a finite number of examples, called exceptional Lie algebras. The simple Lie groups that these correspond to are the exceptional Lie groups, see there for more.

## References

Last revised on May 15, 2019 at 09:22:19. See the history of this page for a list of all contributions to it.