Representation Theory for Finite Groups

10 credits

Course, Master's level, 1MA056

Expand the information below to show details on how to apply and entry requirements.

Location
Uppsala
Pace of study
33%
Teaching form
On-campus
Instructional time
Daytime
Study period
19 January 2026–7 June 2026
Language of instruction
English
Entry requirements

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.

Application deadline
15 October 2025
Application code
UU-60008

Admitted or on the waiting list?

Registration period
5 January 2026–1 February 2026
Information on registration from the department

Location
Uppsala
Pace of study
33%
Teaching form
On-campus
Instructional time
Daytime
Study period
19 January 2026–7 June 2026
Language of instruction
English
Entry requirements

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.

Admitted or on the waiting list?

Registration period
5 January 2026–1 February 2026
Information on registration from the department

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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