260034 VU Lie groups and Lie algebras for physicists (2019S)

5.00 ECTS (3.00 SWS), SPL 26 - Physik

Continuous assessment of course work

Moodle

Details

max. 40 participants

Language: German, English

Lecturers

Harold Steinacker

Classes (iCal) - next class is marked with N

    
    Monday
    04.03.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    (Kickoff Class)
  
    Wednesday
    06.03.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    11.03.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    13.03.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    18.03.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    20.03.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    25.03.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    27.03.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    01.04.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    03.04.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    08.04.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    10.04.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    29.04.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    06.05.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    08.05.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    13.05.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    15.05.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    20.05.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    22.05.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    27.05.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    29.05.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    03.06.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    05.06.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    12.06.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    17.06.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    19.06.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Monday
    24.06.
    10:00 - 11:00
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
    
    Wednesday
    26.06.
    10:00 - 11:15
    Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien

Information

Aims, contents and method of the course

This lecture will provide an introduction to the theory and applications of Lie groups and Lie algebras, which play an important role in theoretical physics. Topics include:

* Rotation groups and -algebras: SO(3), SU(2), Lorentz group and Lorentz algebra
* The relation between Lie groups and Lie algebras
* The structure of (semi)simple Lie algebras (classification, Dynkin-diagrams, etc.)
* Representation theory
* Selected applications, in particular in the context of elementary particle physics

Assessment and permitted materials

There will be a number of homework problems during the semester, which must be uploaded online (via Moodle), and discussed and solved at the blackboard by the students.
There will be a written test in the last unit.

Minimum requirements and assessment criteria

Each correctly solved probems provides up to 3 points.
The grade will be based on the points acquired from the homework problems as well as the written test.
Details will be provided in Moodle

requirements: solid background in analysis and linear algebra.
Quantum mechanics is highly recommended, some previous exposure to differential geometry (e.g. courses on relativity) is helpful but not required.

Examination topics

Lecture notes

Reading list

lecture notes will be provided

Association in the course directory

MaG 5, MaG 15, M-VAF A 2, M-VAF B

Last modified: Mo 24.06.2019 08:48