Quiver Representations by Ralf Schiffler.

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 ba...

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Bibliographic Details
Main Author: Schiffler, Ralf (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Part I: Quivers and their representations
  • Representations of quivers
  • Projective and injective representations
  • Examples of Auslander-Reiten quivers
  • Part II: Path algebras
  • Algebras and modules
  • Bound quiver algebras
  • New algebras from old
  • Auslander-Reiten theory
  • Quadratic forms and Gabriel’s theorem.