Algebras and Representation Theory by Karin Erdmann

Name: Algebras and Representation Theory
Brand: WoB
SKU: 9783319919973
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Part of Springer Undergraduate Mathematics Series series

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Algebras and Representation Theory by Karin Erdmann

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-Hölder 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.

The book under review is a text-book for higher undergraduate mathematics students or graduate students who have previous knowledge of results from linear algebra, and basic properties of rings and groups... It is also useful for non-experts (in representation theory of quivers), they may benefit from this book in several ways: by examining the numerous worked examples, or by working out the many exercises. (Bin Zhu, zbMATH 1429.16001, 2020)

Thorsten Holm ist Professor fü¾˜¶˜¼r Mathematik an der Leibniz Universitü¾†”¼t Hannover. Seine Forschungsthemen liegen in den Bereichen Darstellungstheorie und Algebraische Kombinatorik. Er ist Autor von ü¾˜¶˜¼ber 50 wissenschaftlichen Artikeln und des Lehrbuchs Algebras and Representation Theory.

SKU	Unavailable
ISBN 13	9783319919973
ISBN 10	3319919970
Title	Algebras and Representation Theory
Author	Karin Erdmann
Series	Springer Undergraduate Mathematics Series
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer International Publishing AG
Year published	2018-09-26
Number of pages	298
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable