NMAK13013U Lie Groups (GeomLie)

Volume 2013/2014
Education
MSc Programme in Mathematics
Content
(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) Representationsof sl(2,C)
(G) Roots and weights
(H) Root systems and their classification
Learning Outcome
Knowledge: basic definitions, examples and theorems of the theory
Skill: ability to use the above
Competence: perform logic reasoning within the theory
Geom2 or similar.
5 hours of lectures and 2 hours of exercises per week for 9 weeks.
  • Category
  • Hours
  • Lectures
  • 45
  • Preparation
  • 143
  • Theory exercises
  • 18
  • Total
  • 206
Credit
7,5 ECTS
Type of assessment
Continuous assessment
3 mandatory homework assignments to be returned in weeks 5, 7 and 9 of the course.
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner.
Re-exam
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.