Quiver Representations

Nonfiction, Science & Nature, Mathematics, Combinatorics, Algebra
Cover of the book Quiver Representations by Ralf Schiffler, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ralf Schiffler ISBN: 9783319092041
Publisher: Springer International Publishing Publication: September 4, 2014
Imprint: Springer Language: English
Author: Ralf Schiffler
ISBN: 9783319092041
Publisher: Springer International Publishing
Publication: September 4, 2014
Imprint: Springer
Language: English

This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. 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. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. 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. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed.

More books from Springer International Publishing

Cover of the book Advances in Natural Language Processing, Intelligent Informatics and Smart Technology by Ralf Schiffler
Cover of the book The Price of Climate Action by Ralf Schiffler
Cover of the book Thermoelectrics by Ralf Schiffler
Cover of the book Fully Implicit, Coupled Procedures in Computational Fluid Dynamics by Ralf Schiffler
Cover of the book Recent Developments in Chinese Urban Planning by Ralf Schiffler
Cover of the book Foundations of Security Analysis and Design VIII by Ralf Schiffler
Cover of the book OPEC in a Shale Oil World by Ralf Schiffler
Cover of the book Global Sport Leaders by Ralf Schiffler
Cover of the book The Realization of Star Trek Technologies by Ralf Schiffler
Cover of the book Information Management and Big Data by Ralf Schiffler
Cover of the book Theory of Reflection by Ralf Schiffler
Cover of the book Professional Responsibility by Ralf Schiffler
Cover of the book General Systems Theory by Ralf Schiffler
Cover of the book IAG 150 Years by Ralf Schiffler
Cover of the book Birational Geometry of Foliations by Ralf Schiffler
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy