Course - Introduction to Lie Theory - MA3407
MA3407 - Introduction to Lie Theory
Lessons are not given in the academic year 2023/2024
The course gives a basic introduction to Lie groups and their Lie algebras, mainly focusing on the case of matrix groups. Possible further topics include: representation theory (of semisimple Lie algebras or compact groups), algebraic structure theory of Lie algebras (free, nilpotent, solvable and semisimple Lie algebras), topology of Lie groups.
1. Knowledge. The student is able to articulate and explain the basic concepts and ideas behind Lie theory, and to elucidate their meaning using examples and application of algebraic or analytic nature. 2. Skills. The student has an overall understanding of Lie groups and Lie algebras. They can formulate problems and carry out simple calculations of Lie-theoretical nature, especially for matrix groups in lower dimensions.
Learning methods and activities
The learning methods and activities depend on the course teacher. The lectures may be given in English. The course will be given in autumn in years of even numbers.
Recommended previous knowledge
Basic analysis and group theory are required, as is a good knowledge of linear algebra. Some previous knowledge of topology is also an advantage.
Information about course material will be given at the start of the course.
Credits: 7.5 SP
Study level: Second degree level
Language of instruction: English, Norwegian
- Topology and Geometry
Department with academic responsibility
Department of Mathematical Sciences
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"