nLab
classical Lie group

Context

\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

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 GL(n)GL(n), may be called “classical”.

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