Induced Representations: A Retrospect

Abstract

This work delves into the intricate realm of induced representations, offering an exhaustive examination of three pivotal theorems in the domain of induced representations pertaining to locally compact groups. These three theorems, specifically, are the theorem on induction in stages, the imprimitivity theorem and the intertwining number theorem. These theorems are central to understanding how representations are constructed, related, and interwoven within the framework of group theory.