nLab
exceptional Lie algebra

Contents

Context

Exceptional structures

Lie theory

∞-Lie theory (higher geometry)

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 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 05:22:19. See the history of this page for a list of all contributions to it.