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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.

The exam during Wintersemester 2017 will take place on October 11 between 09.45 and 13.00 in Seminarraum 4. As usual, registration is through the Studentzentrum, but please let us know by email if you plan to attend.

Lists of problems:

Blatt 1, Blatt 2, Blatt 3, Blatt 4, Blatt 5, Blatt 6, Blatt 7, Blatt 8.

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.
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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