Research

Our research focuses on the Representation Theory of finite groups, particularly GL_n over finite principal ideal local rings.

Representation theory is an integral branch of algebra where one studies about writing a group as a group of matrices. It is often vital to have a concrete description of a particular group in the abstract algebra and this can be achieved using representation theory. The Burnside’s theorem is one of the important applications of representation theory. Our interest lies in representation theory of groups over $GL_n$ over rings which are isomorphic to Z/(p^m Z), where p is a prime no. 

Moreover, representation theory has many important applications in mathematics, pure sciences; physics, chemistry, network security, and statistics etc.