A Course in Finite Group Representation Theory (Cambridge by Peter Webb

By Peter Webb

This graduate-level textual content presents a radical grounding within the illustration conception of finite teams over fields and jewelry. The publication presents a balanced and complete account of the topic, detailing the equipment had to research representations that come up in lots of parts of arithmetic. Key issues comprise the development and use of personality tables, the function of induction and limit, projective and easy modules for crew algebras, indecomposable representations, Brauer characters, and block idea. This classroom-tested textual content presents motivation via plenty of labored examples, with workouts on the finish of every bankruptcy that try the reader's wisdom, offer extra examples and perform, and contain effects no longer confirmed within the textual content. must haves contain a graduate path in summary algebra, and familiarity with the homes of teams, earrings, box extensions, and linear algebra.

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