Ernest B. Vinberg
Linear representations of groups - Boston: Birkhauser, [c1989] - 146 p - A Series of Advanced Textsbooks in Mathematics .
Introduction
1. General Properties of Representations
2. Representations of Finite Groups
3. Representations of Compact Groups
4. Representations of Lie Groups
This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the 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 and detailed an account as possible of the problems considered.
9780817622886
QA176
Linear representations of groups - Boston: Birkhauser, [c1989] - 146 p - A Series of Advanced Textsbooks in Mathematics .
Introduction
1. General Properties of Representations
2. Representations of Finite Groups
3. Representations of Compact Groups
4. Representations of Lie Groups
This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the 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 and detailed an account as possible of the problems considered.
9780817622886
QA176