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Quiver Representations

Name: Quiver Representations
Brand: Springer International Publishing AG
SKU: 02779926
Price: 50.51 EUR
Availability: InStock
Author: Ralf Schiffler
ISBN: 9783319092034

Ralf Schiffler

Language

English

Book Hardback

Libristo code: 02779926

Publishers Springer International Publishing AG, September 2014

This book is intended to serve as a textbook for a course in Representation Theory of Algebras at th... Full description

Libristo code: 02779926

122 b

50.51 €

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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.