# Matrix Groups (MAT600)

An introduction to matrix groups and their applications.

*Course description for study year 2024-2025*

## Course code

MAT600

## Version

1

## Credits (ECTS)

10

## Semester tution start

Spring

## Number of semesters

1

## Exam semester

Spring

## Language of instruction

English

**Time table**

## Content

NB! This is an elective course and may be cancelled if fewer than 10 students are enrolled by January 20th for the spring semester.

This course gives an introduction to matrix groups and their applications. Matrices as linear transformations of vector spaces over the real numbers, complex numbers and quaternions will be introduced. The associated general linear, special linear and orthogonal groups will be defined in each case, with lots of examples and applications to symmetry groups. The topology of a matrix group will be described. The structure of matrix groups as manifolds will also be covered, and the important notion of a Lie algebra associated with a matrix group will be developed.

## Learning outcome

## Required prerequisite knowledge

## Recommended prerequisites

## Exam

Form of assessment | Weight | Duration | Marks | Aid |
---|---|---|---|---|

Oral exam | 1/1 | 40 Minutes | Letter grades | None permitted |

Individual assessment.