Representation Theory
- ECTS credits10
- Teaching semesterSpring, Autumn
- Course codeMAT323
- Number of semesters1
- Language
English if English-speaking students attend the seminars, otherwise Norwegian
- Resources
Main content
Teaching semester
Irregular. The course does not run autumn 2019
Objectives and Content
One studies how groups can be realized as symmetry groups of a finite dimensional space. The space is then called a representation of the group. Representations of finite groups and their character tables are studied. In particular representations of the symmetric group Sn. Further topics are representation of the matrix group GL(n) and the close connection to representations of Sn, and the corresponding combinatorics for the associated Young diagrams.
Learning Outcomes
To give the students insight in basic representation theory which is useful for most directions in pure mathematics and also theoretical physics.
Recommended Previous Knowledge
MAT220 Algebra
Forms of Assessment
Oral examination
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.