Gruppentheorie in der Physik

What it is about

You receive an introduction to group theory with a focus on applications in particle physics. By the end you will be able to apply central concepts and statements of group theory, classify representations of SU(2), SU(3) and the Lorentz group, and construct character tables and weight diagrams.

What you will be able to do

• Recall the most important concepts and statements of group theory for finite groups
• Classify finite abelian groups
• Understand the origin of spin groups
• State the definition of Lie groups and distinguish Lie groups from Lie algebras
• Construct character tables for representations of finite groups
• Classify representations of SU(2) and SU(3) using weight diagrams
• Explain irreducible representations of the Lorentz group

What the module consists of

• VorlesungProviding the mathematical foundations through blackboard lectures; examples illustrate physical applications

Teaching method

• Tafelvortragfor structured transmission of the mathematical foundations
• Beispieleto clarify applications in theoretical physics
• Grafische Methoden (z. B. Gewichtdiagramme)to illustrate representations