Group Theory WS16/17

Group Theory (WS16/17)


On this page you will find announcements, exercise sheets, and general information for the course Group Theory by S. Förste.

Announcements


Exercises

Responsible for the organization of the exercises:


Groups


GroupDayTimePlaceTutor
Group 1 Monday 10:15-12:00U5, 0.021, AVZ Mikhail Mikhasenko, mikhasenko@hiskp.uni-bonn.de
Group 2 Tuesday 10:15-12:00Seminar Room 2, BCTP * Yannick Wunderlich, wunderlich@hiskp.uni-bonn.de
Group 3 Tuesday 12:15-14:00Konferenzraum I, 0.027, PI Cesar Fierro, fierro@th.physik.uni-bonn.de
Group 4 Thursday 10:15-12:00Seminar Room 2, BCTP ** Fabian Fischbach, fischbach@th.physik.uni-bonn.de

Exercise sheets

NoExercise sheet
0
Conjugacy classes and Normal Subgroups
1
Properties of Groups
Due 27.10.16.
2
Properties of Groups II; Permutation Group
Due 03.11.16.
3
Isomorphism Theorems
Due 10.11.16.
4
More on Isomorphism; Quotient and Product Groups
Due 17.11.16.
5
Group Actions, Orbits & Stabilizers I; Representations
Due 24.11.16.
6
Group Actions, Orbits & Stabilizers II; Representations & Reducibility
Due 01.12.16.
7
Matrix representation of S_3; Direct Sums & Tensor Products
Due 08.12.16.
8
SO(3) Representation Product; More on the matrix representation of S_3
Due 15.12.16.
9
Intertwiner; Permutations; Cayley's Theorem
Due 22.12.16.
10
The Dihedral Group D_n; Chracters and more; Representation on Polynomials
Due 12.01.17.
11
SO(3) geometry; Algebraic equivalence of SO(3) and SU(2)
Due 19.01.17.
12
Lie Bracket; Subalgebras; Algebraic equivalence of SO(3) and SU(2), part 2
Due 26.01.17.
13
U(n) decomposition; Adjoint representation; On Lie algebras and Killing forms; su(2) representations
Due 02.02.17.

Requirements for the final exam (on 17.02.2017 from 10:00 to 13:00, Lecture Hall 1, Physics Institute)

In order to be admitted to the final exam the following requirements have to be met:

General Information

The module description from the syllabus is available here.

Time and Place for the Lectures

Tuesday 14:15 - 16:00, Seminar Room 1, BCTP & Thursday 13:15 - 14:00, Lecture Hall 1, PI.

Prerequesites:

Theoretical Physics III, Basic Lectures in Mathematics

Literature