4020160150 Group Theory in Physics
Digital- & Präsenz-basierter Kurs
- Aims
- Concepts of group theory with particular emphasis on the classification of the finite semi-simple Lie algebras, because it is the foundation for any more advanced topic.
- Requirements
- Linear algebra
- Structure / topics / contents
- Finite groups: cosets, factor groups, representations. Lie groups and algebras, representations of su(2). Semi-simple Lie algebras: Killing form, Cartan subalgebras, roots, Cartan matrix, Dynkin diagrams; classification of finite semi-simple Lie algebras; Weyl reflections, representations. Young tableaux, Clebsch-Gordon series.
- Assigned modules
-
P22.2
P22
- Amount, credit points; Exam / major course assessment
- 3 SWS, 5 SP/ECTS (Arbeitsanteil im Modul für diese Lehrveranstaltung, nicht verbindlich)
Problem sets, Written exam.
- Other
- The lecture will probably be held in English.
- Contact
- Prof. Dr. Matthias Staudacher, Raum 2.04, IRIS-Haus (Zum Großen Windkanal 6)
- Literature
-
J.F.Cornwell. Group theory in physics I & II. Academic Press 1984
I.Stewart. Lie Algebras. Springer Lecture Notes in Mathematics volume 127