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Quiver Representations

BuchGebunden
230 Seiten
Englisch
Springererschienen am19.09.20142014
This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible.mehr
Verfügbare Formate
BuchGebunden
EUR26,74
BuchKartoniert, Paperback
EUR29,95
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextThis book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible.
Zusammenfassung
First textbook on representation theory which uses the quiver representations approach

Much shorter than other texts on the subject and is meant as a textbook for a one semester course

Explicit constructions of Auslander-Reiten quivers are given

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-319-09203-4
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2014
Erscheinungsdatum19.09.2014
Auflage2014
ReiheCMS Books in Mathematics
Seiten230 Seiten
SpracheEnglisch
Gewicht531 g
IllustrationenXI, 230 p. 357 illus.
Artikel-Nr.32318621

Inhalt/Kritik

Inhaltsverzeichnis
Part I: Quivers and their representations.- Representations of quivers.- Projective and injective representations.- Examples of Auslander-Reiten quivers.- Part II: Path algebras.- Algebras and modules.- Bound quiver algebras.- New algebras from old.- Auslander-Reiten theory.- Quadratic forms and Gabriel´s theorem.mehr
Kritik
"This book is an excellent text for undergraduates or beginning graduate students. The virtues of the book can be amplified by an instructor willing to go faster for those who have some prior exposure to basic algebra, or to go slower for students starting ab ovo. Secondly, a non-expert (in representation theory of quivers) may also benefit from this book in several ways ... . a reader will enjoy the clear and concise overview preceding each chapter and section." (Alex Martsinkovsky, Mathematical Reviews, February, 2016)
"The book under review is an elementary introduction to the diagrammatic or quiver approach to the representation theory of finite-dimensional algebras. It is perhaps the first such textbook addressed to advanced undergraduates or beginning graduate students. ... Teaching a course from this book should be a pleasant experience. Sets of problems are provided at the end of every one of its chapters, and little notes point to the literature. For a motivated student, thebook is well suited for self-study." (Felipe Zaldivar, MAA Reviews, December, 2014)mehr

Autor

Ralf Schiffler is a Professor in the Department of Mathematics at the University of Connecticut.
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Schiffler, Ralf