Groups and Representations

J. L. Alperin, Rowen B. Bell (auth.)9780387945255, 0387945253, 0387945261

The aim of this book is to provide a concise treatment of some topics from group theory and representation theory for a one term course. It focuses on the non-commutative side of the field emphasizing the general linear group as the most important group and example. The book will enable graduate students from every mathematical field, as well as strong undergraduates with an interest in algebra, to solidify their knowledge of group theory. The reader should have a familiarity with groups, rings, and fields, along with a solid knowledge of linear algebra. Close to 200 exercises of varying difficulty serve both to reinforce the main concept of the text and to expose the reader to additional topics.

---

Table of contents :
Front Matter….Pages i-x
Rudiments of Group Theory….Pages 1-37
The General Linear Group….Pages 39-62
Local Structure….Pages 63-87
Normal Structure….Pages 89-105
Semisimple Algebras….Pages 107-136
Group Representations….Pages 137-177
Back Matter….Pages 179-196