Intro to Lie Algebras

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

“Simple Lie Algebras and Dynkin Diagrams”

We’ll see how to construct the Dynkin diagram for a simple Lie algebra. Two Lie algebras are isomorphic if and only if their Dynkin diagrams are, so classifying the Dynkin diagrams is the main ingredient for the classification theorem.