Group | Time | Place | Tutor |
---|---|---|---|
Group 1 | Wednesday, 08am - 10am | Ü22, Room 0.009, AVZ | Jie Gu |
Group 2 | Wednesday, 02pm - 04pm | SR I, PI | Raghuveer Garani |
No | Exercise sheet |
---|---|
00 | Properties of Groups, Conjugay Classes, Normal Subgroups |
01 | Isomorphism Theorems, Quotient- and Product Groups Note: Changed the definition of the semidirect product to match that of the lecture. Addendum to H1.2(d) |
02 | Group Actions, Properties of Groups II |
03 | Representations and Reducibility, Direct Sums and Tensor Products Note: Corrected a typo in exercise H3.1(e). |
04 | Representations II |
05 | Permutations, Cayley's Theorem, Dihedral Group |
06 | Irreps, Characters, Group Algebra |
07 | Characters |
08 | Characters and the Hook Rule |
09 | Lie groups and algebras, equivalence of so(3) and su(2) |
10 | Matrix Identities, subalgebras, equivalence of so(3) and su(2) pt 2 |
11 | Lie algebras, adjoint representation, Killing form |
12 | Roots and the Cartan algebra |
13 | Root Systems, highest weight procedure Note: (i) This sheet is not relevant for the admission to the exam. (ii) Added a "positive" in H13.1(c) |