Representation Theory
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The course will be held in English. First lecture on 21/10.
The aim of this course is to learn what Representation Theory is and how to use it. The main reference will be Fulton-Harris' book (see below).
Even though most of the contents will be defined from scratch, knowledge of complex and differential geometry is recommended.
Tentative topics of this course are
- Representations of Finite Groups
- Representations of SL_n and GL_n and their Lie Algebras
- Representations of Semisimple Lie Algebras
- Borel-Weil-Bott-Schmid Theorem
- Homogeneous varieties
- W. Fulton, J. Harris. Representation Theory, A First Course. Graduate Texts in Mathematics, 129. Readings in Mathematics. Springer-Verlag, New York, 1991. xvi+551 pp. ISBN: 0-387-97527-6; 0-387-97495-4.
- J.M. Landsberg. Tensors: geometry and applications. Graduate Studies in Mathematics, 128. American Mathematical Society, Providence, RI, 2012. xx+439 pp. ISBN: 978-0-8218-6907-9.
Other literature will be added here before or during the lectures.
- 3 hours lectures, 1 hour exercise session per week
- 45h hours total time for lectures
- 15h hours total time for excercises
The lectures take place on:
Tuesday 14:00-15:30 in SR 7, Building E2 4 and
Wednesday 12:30-14 in SR 8, Building E2 4
A quick written exam with correction/discussion and an oral part.
Exercise sessions should take place every second Tuesday and last 90 min, as a usual lecture. These are intented to offer the students advice and solutions about the exercises that are given from time to time during the lectures. First exercise session: 4/11. f
Fabio Tanturri Zi. 429, Geb. E2 4 D-66123 Saarbrücken Tel. +49(0)681/302-2430 This email address is being protected from spambots. You need JavaScript enabled to view it. |