FYSS7310 Introduction to representation theory (5 cr)
Grading scale
0-5
Teaching languages
English
Learning outcomes
After the course the student should:
鈥� Know the basic mathematical concepts of representation theory
鈥� Be able to apply the machinery to representations of finite groups
鈥� Know the classification of complex semisimple Lie algebras and their real forms
鈥� Know their irreducible representations
鈥� Understand applications in (particle) physics
Study methods
Lectures, exercises, reading assignments, exam.
Content
鈥� Brief introduction to mathematical concepts of representation theory
鈥� Application to representations of finite groups
鈥� Classification of complex semisimple Lie algebras and their real forms
鈥� Their irreducible representations
鈥� Applications in (particle) physics
Literature:
| ISBN-number | Author, year of publication, title, publisher |
|---|---|
| Howard Georgi: Lie Algebras in Particle Physics, Westview Press (1999) | |
| William Fulton and Joe Harris: Representation theory: a first course, Springer (1991) |
Assessment criteria
Exercises, reading assignments
Prerequisites
A course in elementary algebra is useful.