Representation Theory for Finite Groups

10 credits

Course, Master's level, 1MA056

Spring 2024 Spring 2024, Uppsala, 33%, On-campus, English Only available as part of a programme

Spring 2024 Spring 2024, Uppsala, 33%, On-campus, English For exchange students

About the course

Groups. Linear representations of groups. Modules. Schur’s lemma. Maschke’s theorem. Character theory. Classification of irreducible representations. Restricted and induced representations. Frobenius’s reciprocity. The Fourier transform, Fourier’s inversion forumula, Plancherel’s formula. Representations of the symmetric group: Young subgroups, Specht modules, Young representation. Robinson–Schensted’s algorithm and bracket formula.

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