Overview
- 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
Part of the book series: CMS Books in Mathematics (CMSBM)
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Table of contents (8 chapters)
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Quivers and Their Representations
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Path Algebras
Keywords
About this book
Reviews
“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)Authors and Affiliations
About the author
Bibliographic Information
Book Title: Quiver Representations
Authors: Ralf Schiffler
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-3-319-09204-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-09203-4Published: 19 September 2014
Softcover ISBN: 978-3-319-36317-2Published: 22 September 2016
eBook ISBN: 978-3-319-09204-1Published: 04 September 2014
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: XI, 230
Number of Illustrations: 357 b/w illustrations
Topics: Algebra, Associative Rings and Algebras, Combinatorics