Summary: The Ado theorem is a fundamental fact, which has a reputation of being a `strange theorem'. We give its natural proof.
@article{701715, title = {A construction of finite-dimensional faithful representation of Lie algebra}, booktitle = {Proceedings of the 22nd Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {2003}, pages = {[159]-161}, mrnumber = {MR1982443}, zbl = {1078.17004}, url = {http://dml.mathdoc.fr/item/701715} }
Neretin, Yurii A. A construction of finite-dimensional faithful representation of Lie algebra, dans Proceedings of the 22nd Winter School "Geometry and Physics", GDML_Books, (2003), pp. [159]-161. http://gdmltest.u-ga.fr/item/701715/