Introduction to Lie algebras
Prof. Dr. Nicolas Perrin
File Type :Online
Number of Pages :NA
In these lectures we will
start from the beginning the theory of Lie algebras and their representations.
Topics covered includes: General properties of Lie algebras, Jordan-Chevalley
decomposition, semisimple Lie algebras, Classification of complex semisimple Lie
algebras, Cartan subalgebras, classification of connected Coxeter graphs and
complex semisimple Lie algebras, Poicare-Birkhoff-Witt theorem.