Introduction to the Representation Theory of Algebras (Paperback, 2015 ed.)

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 such as dimension vectors and integral quadratic forms; and (iii) deeper theorems such as Gabriel's Theorem, the trichotomy and the Theorem of Kac - all accompanied by further examples. Each section includes exercises to facilitate understanding. By keeping the proofs as basic and comprehensible as possible and introducing the three languages at the beginning, this book is suitable for readers from the advanced undergraduate level onwards and enables them to consult related, specific research articles.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	2015
First published:	2015
Authors:	Michael Barot
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	179
Edition:	2015 ed.
ISBN-13:	978-3-319-11474-3
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	3-319-11474-3
Barcode:	9783319114743

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