# Constructing a semisimple Lie algebra from its root system

If you love semisimple Lie algebras, like I do, then you should take a look at Meinolf Geck’s paper On the construction of semisimple Lie algebras and Chevalley groups that just appeared in Proceedings of the AMS (journal version, preprint version). He gives an elementary and canonical construction of a semisimple complex Lie algebra from its…