Introduction to the Representation Theory of Algebras

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This book gives a general introduction to the theory of representations of algebras. It starts with examples of classification problems of matrices under linear transformations, explaining the three common setups: representation of quivers, modules over algebras and additive functors over certain categories. The main part is devoted to (i) module categories, presenting the unicity of the decomposition into indecomposable modules, the Auslander-Reiten theory and the technique of knitting; (ii) the use of combinatorial tools ...

Introduction to the Representation Theory of Algebras 2015, Springer

ISBN-13: 9783319114743

2015 edition

Trade paperback

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