Group Theory

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

By Peter Webb

This graduate-level textual content presents an intensive grounding within the illustration conception of finite teams over fields and earrings. The e-book offers a balanced and accomplished account of the topic, detailing the equipment had to research representations that come up in lots of components of arithmetic. Key themes comprise the development and use of personality tables, the function of induction and restrict, projective and straightforward modules for team algebras, indecomposable representations, Brauer characters, and block idea. This classroom-tested textual content offers motivation via a lot of labored examples, with workouts on the finish of every bankruptcy that try the reader's wisdom, offer additional examples and perform, and comprise effects no longer confirmed within the textual content. must haves contain a graduate path 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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