Cancelled 19221917 Seminar / Undergraduate Course

WiSe 18/19: Einführung in die Darstellungstheorie

Additional information / Pre-requisites

Lineare Algebra I

Comments

Historically, finite groups appeared in mathematics together with an action on some object, for example, as the groups of symmetries of polygons or polytopes. We are going to study, in some sense, the easiest possible actions of finite groups, namely, the linear actions on vector spaces. Such actions are called representations of finite groups. We will only consider representations in complex vector spaces.

Preliminary program:

Generalities on linear representations, irreducible representations and operation on representations. Character theory, Schur’s lemma, decompositions of representations. Subgroups and induced representations. Explicit examples. Representations of the symmetric group.

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Suggested reading


W. Fulton, J. Harris, Representation Theory - A First Course, GTM 129

16 Class schedule

Regular appointments

Wed, 2018-10-17 10:00 - 12:00
Wed, 2018-10-24 10:00 - 12:00
Wed, 2018-10-31 10:00 - 12:00
Wed, 2018-11-07 10:00 - 12:00
Wed, 2018-11-14 10:00 - 12:00
Wed, 2018-11-21 10:00 - 12:00
Wed, 2018-11-28 10:00 - 12:00
Wed, 2018-12-05 10:00 - 12:00
Wed, 2018-12-12 10:00 - 12:00
Wed, 2018-12-19 10:00 - 12:00
Wed, 2019-01-09 10:00 - 12:00
Wed, 2019-01-16 10:00 - 12:00
Wed, 2019-01-23 10:00 - 12:00
Wed, 2019-01-30 10:00 - 12:00
Wed, 2019-02-06 10:00 - 12:00
Wed, 2019-02-13 10:00 - 12:00

Subjects A - Z