Title of project:
Representation Theory Of Finite Groups

Code:
MP2122A

Supervisor: 
Dr. M. Pugh

Project description:
In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces. In particular, group elements can be represented as matrices so that the group operation can be represented by matrix multiplication. Representations of groups are important because they allow many group-theoretic problems to be reduced to problems in linear algebra.
The main task of this project will be to classify (real and complex) representations of the dihedral and cyclic groups.
Project offered as double module, single module, or both:
Double

Prerequisite 2nd year modules:

MA2013 Groups

Recommended 3rd year module for concurrent study:

MA3013 Rings and Fields

Number of students who can be supervised on this project:

1