Representation Theory

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The book delves into representation theory, focusing on groups and finite dimensional algebras. It begins with fundamental non-commutative ring theory and provides essential background on elementary homological algebra. Key topics include representations of groups, block theory, vertices, defect groups, and various correspondences like Green and Brauer. The treatment often extends to a broader context, addressing symmetric finite dimensional algebras over a field, making it a comprehensive resource for advanced study in the field.