Discipline: 
Mathematics
Status: 
Available
Level: 
Masters Project
Level: 
Honours Project
Supervisor(s): 
Dr Peter McNamara

A classical result due to MacDonald shows that certain functions (so-called spherical functions) that appear in representation theory of p-adic groups are well known symmetric functions. This project will study this theorem of MacDonald, with scope to generalise the result to non-linear p-adic groups at the masters level.