Course - Introduction to Lie Theory - MA3407
MA3407 - Introduction to Lie Theory
About
Examination arrangement
Examination arrangement: Oral exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Oral exam | 100/100 | 1 hours | D |
Course content
The course gives a basic introduction to Lie algebras and their connections to various aspects of group theory: discrete groups, algebraic groups, and (of course) Lie groups. The main focus will be on the examples given by matrices, because the general theory can often be reduced to these by means of representation theory. Possible specific topics are: Lie algebras, universal enveloping algebras, free, nilpotent, solvable, and semi-simple Lie algebras; Lie groups, vector fields and integration, one-parameter groups and the exponential map, homogeneous spaces, Clifford algebras and spinor groups.
Learning outcome
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 by reduction to matrix groups in lower dimensions.
Learning methods and activities
The learning methods and activities depend on the course teacher. The lectures will be given in English if the course is attended by students who don't master a Scandinavian language. The course will be given in autumn in years of even numbers.
Recommended previous knowledge
It is advantageous to have knowlegde about linear algebra and analysis beyond the basic courses. Furthermore, some basic knowlegde about topology is an advantage.
Course materials
Information about course material will be given at the start of the course.
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2022
Language of instruction: English, Norwegian
Location: Trondheim
- Topology
- Topology and Geometry
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: Oral exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD Oral exam 100/100 D
-
Room Building Number of candidates - Summer UTS Oral exam 100/100 D
-
Room Building Number of candidates
- * 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"