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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Representation theory of finite groups SemesterWiSe 2026 / 27 Lecturer Sil Linskens Type of course (Veranstaltungsart) Vorlesung German title Darstellungstheorie endlicher gruppe Contents In this course we will study linear actions of groups on vector spaces, a classic and beautiful subject in mathematics. It is also extremely relevant to many different areas, having found applications in geometry, physics, number theory, combinatorics, algebra and so on. First we will focus on the case of characteristic zero, and cover all of the key basic results, such as Maschke's theorem and the theory of characters. An emphasis will be placed on examples and applications of the results proven in other areas of mathematics. Then we will spend the remaining time discussion modular representation theory, representations of p-groups in characteristic p. Here the story is much more subtle, as we will see. Please see the webpage for a more detailed summary of the contents. Literature Linear Representations of finite groups - Serre A course in finite group representation theory - Webb Recommended previous knowledge Linear algebra II, Algebra Time/Date Tue 12-14, Wed 12-14, Exercise class: Fri 12-14 Location Tue M104, Wed M103, Fri M102 Course homepage https://sites.google.com/view/sil-linskens/teaching/rt-wise2627 (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
BAlg(2), BV, MV, MArGeo, MGAGeo ECTS 9 |