MAT9270 – 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.
PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.
Recommended previous knowledge
10 credits overlap with MAT4270 – 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.
In addition, each PhD student is expected to give a one hour oral presentation on a topic of relevance chosen in cooperation with the lecturer. The presentation has to be approved by the lecturer for the student to be admitted to the final exam.
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 pass/fail scale. Read more about the grading system.
Explanations and appeals
Resit an examination
Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.
Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.
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.