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

By Peter Webb

This graduate-level textual content presents a radical grounding within the illustration idea of finite teams over fields and jewelry. The publication presents a balanced and finished account of the topic, detailing the tools had to research representations that come up in lots of components of arithmetic. Key subject matters comprise the development and use of personality tables, the position of induction and limit, projective and straightforward modules for workforce algebras, indecomposable representations, Brauer characters, and block concept. This classroom-tested textual content presents motivation via lots of labored examples, with routines on the finish of every bankruptcy that try the reader's wisdom, supply extra examples and perform, and comprise effects no longer confirmed within the textual content. necessities comprise a graduate path in summary algebra, and familiarity with the homes of teams, jewelry, box extensions, and linear algebra.

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

This graduate-level textual content offers an intensive grounding within the illustration thought of finite teams over fields and earrings. The booklet offers a balanced and finished account of the topic, detailing the equipment had to learn 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 team algebras, indecomposable representations, Brauer characters, and block conception.

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