Noncommutative Algebra for Part III of Serre’s Linear Representations of Finite Groups
نویسنده
چکیده
The third part of J.-P. Serre’s book Linear Representations of Finite Groups discusses of modular representations, i.e., representations of finite groups over a field of nonzero characteristic. The aim of this work is to complement Serre’s work by introducing the reader to some noncommutative algebra used in the study of modular representations, and in particular to the theory of semisimple and projective modules over noncommutative rings. Throughout, G will denote a finite group, all rings will be rings with identity (denoted by 1). Also, every module should be taken to be finitely generated; where that condition is stated explicitly, it is for clarity.
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