# nLab classical Lie group

∞-Lie theory

## Examples

### $\infty$-Lie algebras

The classification of simple Lie groups contains four infinite series of “classical” simple Lie groups:

Apart from this there are five exceptional Lie groups.

More generally, other matrix Lie groups, such as the general linear group $\mathrm{GL}\left(n\right)$, may be called “classical”.

Revised on September 22, 2010 04:46:02 by Toby Bartels (98.19.61.45)