Ado’s theorem


Every finite dimensional Lie algebraMathworldPlanetmath has a faithful finite dimensional representation. In other words, every finite dimensional Lie algebra is a matrix algebra.

This result is not true for Lie groups.

Title Ado’s theorem
Canonical name AdosTheorem
Date of creation 2013-03-22 13:20:42
Last modified on 2013-03-22 13:20:42
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 5
Author bwebste (988)
Entry type Theorem
Classification msc 17B10
Related topic ExamplesOfNonMatrixLieGroup