Elements of the Representation Theory of Associative Algebras: Techniques of Representation Theory, Volume 1

London Mathematical Society Student Texts

by Ibrahim Assem, Andrzej Skowronski, Daniel Simson

This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.

Genres: Algebra, Mathematics

472 pages, Paperback

First published December 1, 2004

Reviews

[Francisco Medeiros · Rating 4 out of 5]

Every aspiring student in Representation Theory of Algebras should read this book. The book is well written, has many examples and exercises and is self-contained.