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Representation Theory of Groups
Lecture by Goulnara Arzhantseva
and
Problem session by
Martin Finn-Sell
Dienstag, 9:45-11:15 and 11:30-12:15, Seminarraum 9 Oskar-Morgenstern-Platz 1, 2.Stock
The course is open to students of all degrees (Bachelor, Master or PhD). The knowledge of the following fundamental concepts is required: groups, vector spaces.
There will be no lecture, or exercises, on January 9th, however the GAGT seminar will continue as usual on that day.
Exam time update for January - see below.
The date for the first exam for this class is January 31st (with registration possible until 29th January via U:Space). This exam will take place between 11.30 and 13.00 in Seminarraum 14.
The second exam is March 7th, and will take place in HS02, between 09.45 and 13.00 (with registration possible until February 28th, also via U:Space).
Lists of problems:
Problems will be posted here on a weekly basis.
Blatt 1, Blatt 2, Blatt 3, Blatt 4, Blatt 5, Blatt 6, Blatt 7, Blatt 8,Blatt 9
Exam questions:
Exam.
Notes:
Uncompressed PDF notes from Prof. Arzhantseva's lectures:
Part 1, Part 2, Part 3, Part 4, Part 5, Part 6, Part 7, Part 8.
Compressed versions of the lecture notes
(smaller file sizes, but worse image quality):
Part 1, Part 2, Part 3, Part 4, Part 5, Part 6, Part 7, Part 8.
Notes from the Problem Class:
Induced representations, Induced representations (small).
References:
- Kowalski, Emmanuel
An introduction to the representation theory of groups.
Graduate Studies in Mathematics, 155. American Mathematical Society, Providence, RI, 2014. vi+432 pp. ISBN: 978-1-4704-0966-1
(If the library has no copies, consider the PDF version available here but be warned there are potentially errors in this version)
-
Serre, Jean-Pierre
Linear representations of finite groups.
Translated from the second French edition by Leonard L. Scott. Graduate Texts in Mathematics, Vol. 42. Springer-Verlag, New York-Heidelberg, 1977. x+170 pp. ISBN: 0-387-90190-6
-
Bekka, Bachir; de la Harpe, Pierre; Valette, Alain
Kazhdan's property (T).
New Mathematical Monographs, 11. Cambridge University Press, Cambridge, 2008. xiv+472 pp. ISBN: 978-0-521-88720-5