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.
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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.
One compulsory assignment needs to be passed within given deadlines to be allowed to take the final exam. Depending on the number of students, the exam will be either oral or written.
What form the exam will take will be announced by the teaching staff within February/October 15th.
Final mark is given based 100% on the examination at the end of the semester.
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.