250071 VO Lie groups (2021W)
Labels
REMOTE
Registration/Deregistration
Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Details
Language: English
Examination dates
Monday
31.01.2022
Monday
28.02.2022
Monday
02.05.2022
Monday
22.08.2022
Wednesday
24.08.2022
Wednesday
15.02.2023
Monday
27.02.2023
Lecturers
Classes (iCal) - next class is marked with N
Since the number of registered students for this course exceeds the capacity of the seminar room (due to COVID-restrictions), the lectures will be held online via blackboard collaborate in moodle.
Friday
01.10.
16:45 - 18:15
Digital
Monday
04.10.
13:30 - 14:15
Digital
Friday
08.10.
16:45 - 18:15
Digital
Monday
11.10.
13:30 - 14:15
Digital
Friday
15.10.
16:45 - 18:15
Digital
Monday
18.10.
13:30 - 14:15
Digital
Friday
22.10.
16:45 - 18:15
Digital
Monday
25.10.
13:30 - 14:15
Digital
Friday
29.10.
16:45 - 18:15
Digital
Friday
05.11.
16:45 - 18:15
Digital
Monday
08.11.
13:30 - 14:15
Digital
Friday
12.11.
16:45 - 18:15
Digital
Monday
15.11.
13:30 - 14:15
Digital
Friday
19.11.
16:45 - 18:15
Digital
Monday
22.11.
13:30 - 14:15
Digital
Friday
26.11.
16:45 - 18:15
Digital
Monday
29.11.
13:30 - 14:15
Digital
Friday
03.12.
16:45 - 18:15
Digital
Monday
06.12.
13:30 - 14:15
Digital
Friday
10.12.
16:45 - 18:15
Digital
Monday
13.12.
13:30 - 14:15
Digital
Friday
17.12.
16:45 - 18:15
Digital
Friday
07.01.
16:45 - 18:15
Digital
Monday
10.01.
13:30 - 14:15
Digital
Friday
14.01.
16:45 - 18:15
Digital
Monday
17.01.
13:30 - 14:15
Digital
Friday
21.01.
16:45 - 18:15
Digital
Monday
24.01.
13:30 - 14:15
Digital
Friday
28.01.
16:45 - 18:15
Digital
Monday
31.01.
13:30 - 14:15
Digital
Information
Aims, contents and method of the course
This lecture course serves as a first introduction to the theory of Lie groups. The focus will be on the interrelation between Lie groups and their Lie algebras. Among others, the following topics will be treated: topological properties, matrix groups, exponential map, Lie subgroups, homomorphisms, the Frobenius theorem, group actions, classification of Lie groups, representation theory of compact Lie groups. The lecture will be based on this script: https://www.mat.univie.ac.at/~mike/teaching/ws1920/lg.pdf
Assessment and permitted materials
Oral exam.
Minimum requirements and assessment criteria
Working knowledge of course material.
Examination topics
Content of the lecture.
Reading list
Brickell, Clark, Differentiable manifolds.
Cap, Lie Groups.
Chevalley, Theory of Lie groups.
Duistermaat, Kolk, Lie groups.
Hilgert, Neeb, Lie Gruppen und Lie Algebren.
Lee, Manifolds and differential geometry.
Michor, Topics in differential geometry.
Cap, Lie Groups.
Chevalley, Theory of Lie groups.
Duistermaat, Kolk, Lie groups.
Hilgert, Neeb, Lie Gruppen und Lie Algebren.
Lee, Manifolds and differential geometry.
Michor, Topics in differential geometry.
Association in the course directory
MGEL
Last modified: Fr 12.05.2023 00:21