NMAK13013U Lie Groups (GeomLie)
Volume 2015/2016
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
Academic qualifications
Geometri 2 (Geom2) or
similar.
Teaching and learning methods
5 hours of lectures and 2
hours of exercises per week for 9 weeks.
Workload
- Category
- Hours
- Lectures
- 45
- Preparation
- 143
- Theory exercises
- 18
- Total
- 206
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Exam
- Credit
- 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 equally towards the grade.
- 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.
Course information
- Language
- English
- Course code
- NMAK13013U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 4
- Schedule
- A
- Course capacity
- No limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Hans Plesner Jakobsen (8-7067717568796b744673677a6e34717b346a71)
Phone +45 35 32 06 89, room
04.4.15
Saved on the
27-04-2015