Groups and their representations form the mathematical description of symmetries. This course introduces you to representation theory, with particular emphasis on Lie groups and their Lie algebras which account for continuous symmetries. Mathematical applications of the theory range from combinatorics to geometry and topology. Lie groups of importance to physics include the group of coordinate transformations of spacetime in special relativity, and the group of gauge transformations in theories of particle physics.
Time2019-2020 Period II (6 weeks)
- Lectures: Tuesdays 10-12 and Wednesdays 12-14 in M2 (2 x 2h lectures / week)
- Exercise sessions: Thursdays 16-18 in M203 (1 x 2h exercises / week)
GradingThe course grade is determined by a score consisting of
- up to 24 points from the exam (4 problems worth 6 points each)
- up to 6 bonus points from solutions to problems
ExamThe exam will be held on:
- Wednesday, December 18 at 13-16 (lecture hall E).
You are allowed to bring to the exam a handwritten memory aid sheet. The memory aid sheet must be of size A4 with text only on one side, and it must contain your name and student number in the upper right corner. You don’t need to return your memory aid sheet. The exam consists of 4 problems, each worth 6 points.
Thursday, April 9, 2020.
The announced date 9.4. of the exam T01 is within the period of the state of emergency measures in response to the COVID-19 pandemic. The exam can not be organized as planned, and we will instead adopt the following alternatives for this course:
- The already awarded grades based on the December exam will naturally remain valid for those who do not plan a retake exam.
- The option to complete the course by a course exam will still be given at the next possible exam date, i.e., the exercise points will still count towards the grade then. The date of the next exam will be announced once we are again in a position to arrange exams. (Please nevertheless prepare for the possibility that the next exam may not be held during the Spring semester.) A student, who wants to take this option, should register for the exam as usual once the date is fixed and the registration for the exam opens.
- During the emergency measures, students having a sufficient number of solved exercises can exceptionally obtain a study attainment without a numerical grade (grade: "pass"). In this course 50% of the exercise points or any accepted grade in December exam are considered sufficient for passing. If you fall short of these criteria, you may ask for supplementary exercises. A student, who wants to take this option of completing the course without a grade, should inform the lecturer by April 9 via email.
- W. Fulton & J. Harris "Representation theory: A first course", Graduate Texts in Mathematics. Springer, 2004.