Modern developments in representation theory rely heavily on homological methods. This book for advanced graduate students and researchers introduces these meth

Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessar

An introduction to modern developments in the representation theory of finite groups and associative algebras.

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from

A further introduction to modern developments in the representation theory of finite groups and associative algebras.