Course for international guest/part time students
- Faculty
- Faculty of Science
- Organization
- TTK Department of Geometry
- Code
- liecso1u0um17gm
- Title
- Lie groups (p)
- Usual semester
- Autumn
- ECTS
- 2
- Language
- en
- Learning outcomes
- • Knowledge: Knowledge of basic concepts, results and methods in the field. • Ability: Application of knowledge in the field, understanding of interrelationships and problem solving. • Attitude: Desire to improve mathematical knowledge and to learn as much as possible, and to apply knowledge as widely as possible. • Autonomy and responsibility: Formulate and analyze mathematical questions independently and evaluate the limits of their applicability responsibly.
- Course content
- Lie groups and their Lie algebras. Exponential map. Lie subgroups. Adjoint representation. The Hausdorff-Campbell-Baker series. Structure of Lie algebras, nilpotent, solvable, semisimple and reductive Lie algebras. Cartan subalgebra, classification of semisimple Lie algebras.
- Assessment method
- (written or oral) exam plus term mark
- Bibliography
- lecture notes
- Recommended bibliography
- F. Warner: Foundations of differentiable manifolds and Lie groups, Scott Foresman, Glenview, 1970. S. Helgason: Differential geometry, Lie groups, and symmetric spaces, Academic Press, New York, 1978.
Programmes of the course
| Title (code) | Lang. | Level | Mandatory | Year | ... |
|---|---|---|---|---|---|
| Erasmus Programme (TTK-ERASMUS-NXXX) | en | Mandatory | |||
| Mathematician (TTK-MATEMAT-NMEN) | en | 7 | 1/2 | ||
| Mathematician (TTK-MATEMAT-NMHU) | hu | 7 | 1/2 |