Groups and Representations Graduate Texts in Mathematics Springer PAPERBACK Alperin and Bell, authors

A concise treatment of topics from group theory and representation theory for use in a one-term course. Focusing on the non-commutative side of the field, this advanced textbook emphasizes the general linear group as the most important group and example.

Readers are expected to be familiar with groups, rings, and fields, and to have 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 introduce the reader to additional topics.