Linear Representations of Groups: Translated from the Russian by A. Iacob

This book gives an exposition of the fundamentals of the theory of linear representations of—nite and compact groups, as well as elements of the t- ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple…