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

By Peter Webb

This graduate-level textual content offers a radical grounding within the illustration thought of finite teams over fields and earrings. The publication offers a balanced and complete account of the topic, detailing the tools had to study representations that come up in lots of parts of arithmetic. Key subject matters comprise the development and use of personality tables, the position of induction and limit, projective and easy modules for crew algebras, indecomposable representations, Brauer characters, and block idea. This classroom-tested textual content offers motivation via a number of labored examples, with workouts on the finish of every bankruptcy that try the reader's wisdom, supply additional examples and perform, and contain effects no longer confirmed within the textual content. must haves comprise a graduate direction in summary algebra, and familiarity with the houses of teams, jewelry, box extensions, and linear algebra.

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