Title of the course: Lie algebras and representation theory for physicists
Instructor: Dr. Axel Kleinschmidt
Institution: Max Planck Institute for Gravitational Physics
Dates: 18-26 September 2017
Prerequisites: Working knowledge of (linear) algebra, basic differential geometry, quantum mechanics.
Level: Graduate, advanced undergraduate
Abstract: This course will introduce the basic concepts of representations of Lie groups and Lie algebras. These are ubiquitous in high energy physics as much of the standard model is governed by symmetries. Material covered includes: From Lie groups to Lie algebras; structure theory of Lie algebras; roots and weights; highest weight representations; character formulas; tensor products and branching; Young tableaux.
Textbook or/and course webpage:
Fulton/Harris: A course in representation theory
Zee: Group theory in a nutshell