Quiver Representations Hardback
Part of the CMS Books in Mathematics series
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.
- Format: Hardback
- Pages: 230 pages, 357 Illustrations, black and white; XI, 230 p. 357 illus.
- Publisher: Springer International Publishing AG
- Publication Date: 05/09/2014
- Category: Algebra
- ISBN: 9783319092034
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