nLab
matrix 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

A matrix Lie group is a Lie group that is canonically a matrix group, hence a subgroup of the general linear group GL nGL_n on n\mathbb{R}^n or n\mathbb{C}^n.

See also matrix Lie algebra.

Revised on August 5, 2013 17:34:06 by Urs Schreiber (89.204.130.86)