Representation Theory


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 Saarbr├╝cken
Tel. +49(0)681/302-2430
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© AG Schreyer