FYSS7310 Introduction to representation theory (5 cr)
Study level:
Advanced studies
Grading scale:
0-5
Language:
English
Responsible organisation:
Department of Physics
Curriculum periods:
2024-2025, 2025-2026, 2026-2027, 2027-2028
Description
• Brief introduction to mathematical concepts of representation theory
• Application to representations of finite groups
• Classification of complex semisimple Lie algebras and their real forms
• Their irreducible representations
• Applications in (particle) physics
Learning outcomes
After the course the student should:
• Know the basic mathematical concepts of representation theory
• Be able to apply the machinery to representations of finite groups
• Know the classification of complex semisimple Lie algebras and their real forms
• Understand their irreducible representations
• Be able to use representation theory in (particle) physics applications
Description of prerequisites
A course in elementary algebra is useful.
Literature
- Howard Georgi: Lie Algebras in Particle Physics, Westview Press (1999)
- William Fulton and Joe Harris: Representation theory: a first course, Springer (1991)
Completion methods
Method 1
Description:
Given every other spring starting in 2026 or when needed.
Evaluation criteria:
Exercises, reading assignments, exam.
Time of teaching:
Period 3
Select all marked parts
Parts of the completion methods
x
Participation in teaching (5 cr)
Type:
Participation in teaching
Grading scale:
0-5
Language:
English