Schedule, syllabus and examination date

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Course content

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.

Learning outcome

The course gives an introduction to the theory of representation of finite groups, compact Lie groups and complex Lie algebras.

Admission

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.

Prerequisites

Recommended previous knowledge

MAT2200 - Groups, Rings and Fields, MAT2400 - Real Analysis and MAT4520 - Manifolds.

Overlapping courses

10 credits overlap with MAT4270 - Representation Theory

For information about the potential partial overlap with other courses, contact the Department.

Teaching

4 hours of lectures/exercises per week.

Examination

Each 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.

In addition, 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.

Rules for compulsory assignments at the Department of Mathematics.

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.

Grading scale

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.

Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course

Credits

10

Level

PhD

Teaching

Autumn 2017

Autumn 2015

Autumn 2014

Autumn 2013

Autumn 2012

Taught according to demand and resources. If you want to attend the course, please send an e-mail to studieinfo@math.uio.no.

The course will be given with fewer lectures than normal in the Autumn 2014.

Examination

Autumn 2017

Autumn 2015

Autumn 2014

Autumn 2013

Autumn 2012

According to demand and resources.

Teaching language

English