Representation Theory of Groups (MAGIC075)
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This course is part of the MAGIC core.
Please see the syllabus.
Spring 2021 (Monday, January 25 to Friday, March 19; Monday, April 26 to Friday, May 7)
A course on group theory and a good background in linear algebra.
Representation TheoryLecturer: Martina Balagovic
Outline of course: This course is an introduction to the representation theory of finite groups. We will develop the theory of finite dimensional representations of finite groups over the field of complex numbers. The main results are that such representations are completely reducible, and completely determined by their characters. We will also see how characters are used to effectively calculate such decompositions. We will finish the course by studying the representation theory of the symmetric group in more detail.
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