# Ado’s theorem

Every finite dimensional Lie algebra^{} 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 |