PSI Lectures/Lie Groups and Lie Algebras

2014 - Gang Xu - Lie Groups and Lie Algebras

 * Lecture 1 -   Introduction: motivation, definition, examples, properties.
 * Lecture 2 - Structure of a group: Representation of a group, structure constant, Poincare group
 * Lecture 3 - Adjoint Representation, Highest weight method to construct representations of su(2)
 * Lecture 4 - finding a su(2) subalgebra in a general simple Lie algebra, the root diagram of rank-2 Lie algebra, Dynkin diagram