NMAK13013U Lie Groups (GeomLie)
MSc Programme in Mathematics
(A) Lie groups and Lie algebras; definitions and examples.
(B) Invariant vector fields and the exponential map.
(C) The Lie algebra of a Lie group, Ad and ad.
(D) Homomorphisms, subgroups, sub¬algebras.
(E) Fibre bundles and homogeneous spaces.
(F) Representations of sl(2,C)
(G) Examples of representations of other groups; compact groups.
Knowledge: basic definitions, examples and theorems of the
Skill: ability to use the above
Competence: perform logic reasoning within the theory
- 7,5 ECTS
- Type of assessment
- Continuous assessment3 mandatory homework assignments to be returned in weeks 5, 7 and 9 of the course. The assignments counts 30%, 30%, and 40%, respectively.
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner.
A 30 minutes oral examination without preparation time. No aids. Several internal examiners
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
- Theory exercises