New PDF release: A Course in Finite Group Representation Theory (Cambridge

By Peter Webb

This graduate-level textual content offers an intensive grounding within the illustration conception of finite teams over fields and earrings. The booklet presents a balanced and finished account of the topic, detailing the equipment had to study representations that come up in lots of components of arithmetic. Key subject matters comprise the development and use of personality tables, the function of induction and limit, projective and easy modules for team algebras, indecomposable representations, Brauer characters, and block conception. This classroom-tested textual content presents motivation via a number of labored examples, with workouts on the finish of every bankruptcy that try the reader's wisdom, supply extra examples and perform, and contain effects now not confirmed within the textual content. necessities contain a graduate path in summary algebra, and familiarity with the homes of teams, earrings, box extensions, and linear algebra.

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A Course in Finite Group Representation Theory (Cambridge Studies in Advanced Mathematics) by Peter Webb

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