CIMPA research school on
	Lattices and applications to cryptography and coding theory Saigon University, Ho Chi Minh City, Vietnam. August 1st - 12th, 2016
	Lattices and Lie Algebras Lecturer: Laura Geatti (Tor Vergata)
d fa sjk asdgsiji	d fa sjk asdgsiji Program Complex simple Lie algebras. Killing form. Cartan subalgebras and Weyl group. Root system of a simple Lie algebra. Cartan matrix and Dynkin  diagram. The classification of complex simple Lie algebras: the classical and the exceptional simple Lie algebras.  The root lattice and the weight lattice of a simple Lie algebra: their properties and their significance.  The lattice E8.