120 credits including 90 credits mathematics of 60 credits mathematics and 60 credits physics. Participation in Algebraic Structures or Symmetry and Group Theory in Physics. Participation in Linear Algebra III or Quantum Physics. Proficiency in English equivalent to the Swedish upper secondary course English 6.
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.
