At the crossroads of representation theory, algebraic geometry and
finite group theory, this 2004 book blends together many of the
main concerns of modern algebra, with full proofs of some of the
most remarkable achievements in the area. Cabanes and Enguehard
follow three main themes: first, applications of etale cohomology,
leading to the proof of the recent Bonnafe-Rouquier theorems. The
second is a straightforward and simplified account of the
Dipper-James theorems relating irreducible characters and modular
representations. The final theme is local representation theory.
One of the main results here is the authors' version of
Fong-Srinivasan theorems. Throughout the text is illustrated by
many examples and background is provided by several introductory
chapters on basic results and appendices on algebraic geometry and
derived categories. The result is an essential introduction for
graduate students and reference for all algebraists.
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