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By Peter Webb

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