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Algebras and Representation Theory by Thorsten Holm, Karin Erdmann (Paperback, 2018)

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About this product

Product Information

This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers. The book starts with basic topics on algebras and modules, covering fundamental results such as the Jordan-Hoelder theorem on composition series, the Artin-Wedderburn theorem on the structure of semisimple algebras and the Krull-Schmidt theorem on indecomposable modules. The authors then go on to study representations of quivers in detail, leading to a complete proof of Gabriel's celebrated theorem characterizing the representation type of quivers in terms of Dynkin diagrams. Requiring only introductory courses on linear algebra and groups, rings and fields, this textbook is aimed at undergraduate students. With numerous examples illustrating abstract concepts, and including more than 200 exercises (with solutions to about a third of them), the book provides an example-driven introduction suitable for self-study and use alongside lecture courses.

Product Identifiers

PublisherSpringer International Publishing A&G

ISBN-139783319919973

eBay Product ID (ePID)20046586692

Product Key Features

Number of Pages298 Pages

LanguageEnglish

Publication NameAlgebras and Representation Theory

Publication Year2018

SubjectMathematics

TypeTextbook

AuthorThorsten Holm, Karin Erdmann

SeriesSpringer Undergraduate Mathematics Series

FormatPaperback

Dimensions

Item Height235 mm

Item Weight474 g

Item Width155 mm

Additional Product Features

Country/Region of ManufactureSwitzerland

Title_AuthorKarin Erdmann, Thorsten Holm