Chapter 1. Introduction
Chapter 2. Basic notions of representation theory
Chapter 3. General results of representation theory
Chapter 4. Representations of finite groups: Basic results
Chapter 5. Representations of finite groups: Further results
Chapter 6. Quiver representations
Chapter 7. Introduction to categories
Chapter 8. Homological algebra
Chapter 9. Structure of finite dimensional algebras

The goal of this book is to give a “holistic” introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. --- summary provided by publisher