Representation Theory

The book delves into the representation theory of groups and finite-dimensional algebras, beginning with foundational non-commutative ring theory. It explores essential concepts in homological algebra and group representations, including block theory, vertices, defect groups, and various correspondences like Green and Brauer. Additionally, it emphasizes a general approach, applying its findings to symmetric finite-dimensional algebras over fields, making it a comprehensive resource for understanding these mathematical structures.