Title of project:
Representation Theory Of Finite Groups

Code:
MP2122B

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 initial task of this project will be to classify (real and complex) representations of the dihedral and cyclic groups. For the second half of the project there are a number of directions the project could take, including (but not limited to): extending the representation theory of dihedral and cyclic groups to fields of positive characteristic; or, considering different approaches to classifying irreducible representations of the symmetric group.

Project offered as double module, single module, or both:
Double

Number of students who could be supervised for this project:
1