Click Here to Download: https://ouo.io/qNNgy9 Quiver Representations By: Ralf Schiffler Publisher: Springer Print ISBN: 9783319092034, 3319092030 eText ISBN: 9783319092041, 3319092049 Copyright year: 2014 Format: EPUB Available from $ 69.99 USD SKU 9783319092041 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.
