By Peter Webb

This graduate-level textual content presents a radical grounding within the illustration conception of finite teams over fields and earrings. The publication offers a balanced and entire account of the topic, detailing the tools had to study representations that come up in lots of components of arithmetic. Key issues comprise the development and use of personality tables, the position of induction and limit, projective and easy modules for staff algebras, indecomposable representations, Brauer characters, and block idea. This classroom-tested textual content presents motivation via quite a few labored examples, with routines on the finish of every bankruptcy that attempt the reader's wisdom, supply extra examples and perform, and contain effects no longer confirmed within the textual content. necessities contain a graduate path in summary algebra, and familiarity with the houses of teams, earrings, box extensions, and linear algebra.

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