402-0883-63L  Symmetries in Physics

SemesterSpring Semester 2021
LecturersM. Gaberdiel
Periodicityyearly recurring course
Language of instructionEnglish


402-0883-63 VSymmetries in Physics2 hrs
Tue12-14HPV G 5 »
M. Gaberdiel
402-0883-63 USymmetries in Physics
Excercises will start in the second week of the semester.
1 hrs
Tue16-17HCI D 2 »
17-18HCI D 2 »
M. Gaberdiel

Catalogue data

AbstractThe course gives an introduction to symmetry groups in physics. It explains the relevant mathematical background (finite groups, Lie groups and algebras as well as their representations), and illustrates their important role in modern physics.
ObjectiveThe aim of the course is to give a self-contained introduction into finite group theory as well as Lie theory from a physicists point of view. Abstract mathematical constructions will be illustrated with examples from physics.
ContentFinite group theory, including representation theory and character methods; application to crystal field splitting. The symmetric group and the structure of its representations; application to identical particles and parastatistics. Simple Lie algebras and their finite-dimensional representations. Description of representations of SU(N) in terms of Young diagrams; applications in particle physics.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits6 credits
ExaminersM. Gaberdiel
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 20 minutes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

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Only public learning materials are listed.


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Offered in

Doctoral Department of PhysicsDoctoral and Post-Doctoral CoursesWInformation
High-Energy Physics (Joint Master with IP Paris)Optional Subjects in PhysicsWInformation
Physics MasterSelection: Theoretical PhysicsWInformation