4020160150 Group Theory in Physics

SS 2017 WS 2016
SS 2016
SS 2015 WS 2015 Department of Physics
open chemistry

KVL / Klausuren / MAP 1st HS: 18.04 2nd HS: 06.06 sem.br.: 25.07 begin WS: 15.10

2.FS MPh	VL	Tue 13-15	weekly	ZGW 6 2'07 (36)	Burkhard Eden
	UE	Thu 13-15	14-day	ZGW 6 2'07 (36)	Burkhard Eden

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

Humboldt Universitaet zu Berlin Faculty of Mathematics and Natural Sciences Department of Physics auf deutsch