MAT4270 – Representation Theory
Course description
Schedule, syllabus and examination date
Course content
The aim of the course is to give an introduction to the theory of representation. The main 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.
Learning outcome
The course gives an introduction to the theory of representations of finite groups, compact Lie groups and complex Lie algebras.
Admission to the course
Students admitted at UiO must?apply for courses?in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.
Nordic citizens and applicants residing in the Nordic countries may?apply to take this course as a single course student.
If you are not already enrolled as a student at UiO, please see our information about?admission requirements and procedures for international applicants.
Recommended previous knowledge
Overlapping courses
- 10 credits overlap with MAT9270 – Representation Theory.
Teaching
4 hours of lectures/exercises per week throughout the semester.
The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.
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.
Examination
Final written exam or final oral exam, which counts 100 % towards the final grade.
The form of examination will be announced by the lecturer by 1 October/1 March for the autumn semester and the spring semester respectively.
This course has 1 mandatory assignment that must be approved before you can sit the final exam.
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: MAT9270 – Representation Theory
Examination support material
No examination support material is allowed.
Language of examination
Courses taught in English will only offer the exam paper in English. You may submit your response in Norwegian, Swedish, Danish or English.
Grading scale
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.
Resit an examination
This course offers both postponed and resit of examination. Read more:
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.