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 |