FYSS7310 Johdatus esitysteoriaan (5 op)
Osaamistavoitteet
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
• Know their irreducible representations
• Understand applications in (particle) physics
Suoritustavat
Lectures, exercises, reading assignments, exam.
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• 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
Kirjallisuus
ISBN-numero | Tekijä, julkaisuvuosi, teoksen nimi, julkaisija |
---|---|
Howard Georgi: Lie Algebras in Particle Physics, Westview Press (1999) | |
William Fulton and Joe Harris: Representation theory: a first course, Springer (1991) |
Arviointiperusteet
Exercises, reading assignments
Esitietovaatimukset
A course in elementary algebra is useful.