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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Algebra

• Full title: Quiver Representations
• Author: Ralf Schiffler
• Language: English
• Binding: Paperback
• Number of pages: 230
• EAN: 9783319363172
• ISBN: 3319363174
• ID: 13513280
• Publisher: Springer International Publishing AG
• Weight: 3752 g
• Dimensions: 235 × 155 × 237 mm
• Date of publishing: 03. August 2016

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