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F8600 Lie Groups in Physics

Lectures: Mondays 15:30-17:30.
Lectures take place in MS1, 1st floor, building 8 (Math. Dept.).


Course Plan, Spring 2020:


Friday 21.02.20
Cancelled.

Monday 24.02.20
[L7] Chapter 2; [E7] 1+2.

Monday 02.03.20
[L7] Chapter 3 (p.14-18) + Appendix C; [E7] 3+4+5.

Monday 09.03.20
[L7] Chapter 3 (p.19-21); [E7] 6.

Monday 16.03.20
Cancelled by rector.

Monday 23.03.20: group chat at 15:30
My skype handle is: klaus_bering. Join F8600 skype group.

Wednesday 25.03.20: e-lecture at 13:00
[L7] Chapter 4 (p.22) (video).

Monday 30.03.20: e-lecture at 15:30
[L7] Chapter 4 (p.23-25) + Schur Lemma + Casimirs (video); [E7] 8.

Wednesday 01.04.20: e-lecture at 13:00
[L7] Chapter 5 (no video); [E7] 9+10.

Monday 06.04.20: e-lecture at 15:30
[L7] Chapter 6 (p.31-33) (video); [E7] 11.

Wednesday 08.04.20: e-lecture at 13:00
[L7] Chapter 6 (p.34-35) (video).

Monday 13.04.20
Easter Monday. No lecture.

Wednesday 15.04.20: e-lecture at 13:00
[L7] Chapter 6 (p.36-38) (video); [E7] 12+13+14.

Monday 20.04.20: e-lecture at 15:30
[L7] Chapter 7 (video); [E7] 15+16+17.

Wednesday 22.04.20
No lecture.

Monday 27.04.20: e-lecture at 15:30
[L7] Chapter 8 + Appendix D (video); [E7] 18.

Monday 04.05.20: e-lecture at 15:30
[L7] Chapter 9 (video); [E7] 19+20+21.

Monday 11.05.20: e-lecture at 15:30
Last lecture. [L7] Chapter 10+11 (video).

Monday 18.05.20:
No lecture.

Monday 25.05.20 at 15:30 in F3:
Last time. Colloquiums/Students presentations; 25 minutes each.

Monday 01.06.20:
No lecture.

Colloquium titles:

15:30 Martina: The action of the Lorentz group in E&M

16:00 Filip: How to couple Dirac Spinors to General Relativity?

16:30 Samuel: Left invariant fields, Maurer Cartan form, some its properties and applications

17:00 Jorge: SO^+(3,1,R) = SL(2,C)/Z_2

Reza:


Course Material:

[L7]: Gerard 't Hooft, "Lie Groups in Physics", lecture notes version 25.06.2007. Czech translation by Michal Lenc from 2004.
[E7]: Gerard 't Hooft, "Lie Groups Exercises", exercise notes version 18.06.2007. Czech translation by Michal Lenc from 24.06.2005.


NB: The Czech translations are not up to date and will not be used in the course. They are only included as a language help.

Supplementary References:

[RNC]: R.N. Cahn, "Semi-Simple Lie Algebras and Their Representations", 1984. PDF .