Can I read Algebras and Representation Theory on EtoBox?

Algebras and Representation Theory by Karin Erdmann & Thorsten Holm is a nonfiction available to read on EtoBox.

What is Algebras and Representation Theory about?

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.

Who reads Algebras and Representation Theory?

Author

Karin Erdmann & Thorsten Holm

Publisher

Springer International Publishing : Imprint: Springer

Published

2018

Language

EN

ISBN

9783319919980

Category

nonfiction

Subjects

Mathematics, Stem