By Peter Webb

This graduate-level textual content presents an intensive grounding within the illustration concept of finite teams over fields and earrings. The ebook presents a balanced and complete account of the topic, detailing the tools had to study representations that come up in lots of components of arithmetic. Key themes contain the development and use of personality tables, the position of induction and restrict, projective and straightforward modules for team algebras, indecomposable representations, Brauer characters, and block idea. This classroom-tested textual content presents motivation via loads of labored examples, with workouts on the finish of every bankruptcy that try the reader's wisdom, supply additional examples and perform, and comprise effects no longer confirmed within the textual content. necessities contain a graduate direction in summary algebra, and familiarity with the houses of teams, jewelry, 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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