Description

Book Synopsis
Provides an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic approach based on Auslander-Reiten theory as well as the approach based on geometric invariant theory. The book is suitable for a graduate course in quiver representations and has numerous exercises and examples throughout.

Trade Review
This book serves as an introductory text on quiver representations which would allow a person without any knowledge of Artin algebras to learn the subject quickly." — Queqing Chen, Mathematical Reviews

Table of Contents
  • Introduction
  • Homological algebra of quiver representations
  • Finite dimensional algebras
  • Gabriel's theorem
  • Almost split sequences
  • Auslander-Reiten theory
  • Extended Dynkin quivers
  • Kac's theorem
  • Geometric invariant theory
  • Semi-invariants of quiver representations
  • Orthogonal categories and exceptional sequences
  • Cluster categories
  • Notation
  • Index
  • Bibliography

    An Introduction to Quiver Representations

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      £106.20

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      RRP £118.00 – you save £11.80 (10%)

      Order before 4pm today for delivery by Fri 7 Aug 2026.

      A Hardback by Harm Derksen, Jerzy Weyman

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        View other formats and editions of An Introduction to Quiver Representations by Harm Derksen

        Publisher: American Mathematical Society
        Publication Date: Publication Date: 30/01/2018
        ISBN13: 9781470425562, 978-1470425562
        ISBN10: 1470425564

        Description

        Book Synopsis
        Provides an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic approach based on Auslander-Reiten theory as well as the approach based on geometric invariant theory. The book is suitable for a graduate course in quiver representations and has numerous exercises and examples throughout.

        Trade Review
        This book serves as an introductory text on quiver representations which would allow a person without any knowledge of Artin algebras to learn the subject quickly." — Queqing Chen, Mathematical Reviews

        Table of Contents
        • Introduction
        • Homological algebra of quiver representations
        • Finite dimensional algebras
        • Gabriel's theorem
        • Almost split sequences
        • Auslander-Reiten theory
        • Extended Dynkin quivers
        • Kac's theorem
        • Geometric invariant theory
        • Semi-invariants of quiver representations
        • Orthogonal categories and exceptional sequences
        • Cluster categories
        • Notation
        • Index
        • Bibliography

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