Algebras, Quivers and Representations, 1st Edition

  • Published By:
  • ISBN-10: 364239485X
  • ISBN-13: 9783642394850
  • DDC: 512
  • Grade Level Range: College Freshman - College Senior
  • 298 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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This book features survey and research papers from The Abel Symposium 2011: Algebras, quivers and representations, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like, commutative algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories. In addition, it includes contributions on further developments in representation theory of quivers and algebras.Algebras, Quivers and Representations is targeted at researchers and graduate students in algebra, representation theory and triangulate categories.‚Äč

Table of Contents

Front Cover.
Other Frontmatter.
Title Page.
Copyright Page.
1: Preprojective Algebras, Singularity Categories and Orthogonal Decompositions.
2: (Contravariant) Koszul Duality for DG Algebras.
3: The Fundamental Group of a Morphism in a Triangulated Category.
4: On Hochschild Cohomology for Selfinjective Special Biserial Algebras.
5: Algebras of Finite Global Dimension.
6: Continuous Frobenius Categories.
7: Triangle Functors Over Generic Hypersurfaces.
8: Combinatorics of KP Solitons from the Real Grassmannian.
9: Morphisms Determined by Objects in Triangulated Categories.
10: Cycle-Finite Module Categories.
11: Distinguished Bases of Exceptional Modules.
12: Acyclic Cluster Algebras Revisited.