MAT4270 – Representation Theory
Schedule, syllabus and examination date
The aim of the course is to give an introduction to the theory of representation. The chief emphasis will be on the three areas: finite groups, compact Lie groups and complex Lie algebras. Feasible objectives in the three areas are respectively Frobenius reciprocity, Peter-Weyl theorem/Weyl character formula, and Cartan’s classification of simple, complex Lie algebras/theory of highest weight.
There will emphasis on concrete examples like the classical groups, the five exceptional ones and in the finite case the symmetric groups. The course will include a glimpse of the applications in physics.
The course gives an introduction to the theory of representation of finite groups, compact Lie groups and complex Lie algebras.
Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.
If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.
Recommended previous knowledge
10 credits overlap with MAT9270 – Representation Theory
For information about the potential partial overlap with other courses, contact the Department.
4 hours of lectures/exercises per week.
Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.
Final oral or written examination. The form of examination will be announced by the teaching staff by 15 October/15 March for the autumn semester and the spring semester respectively.
Examination support material
No examination support material is allowed.
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Explanations and appeals
Resit an examination
This course offers both postponed and resit of examination. Read more:
Withdrawal from an examination
It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.
Special examination arrangements
Application form, deadline and requirements for special examination arrangements.
The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.