Algebras, Quivers and Representations: The Abel Symposium 2011

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Aslak Bakke Buan, Idun Reiten, Øyvind Solberg
Springer Science & Business Media, Aug 24, 2013 - Mathematics - 298 pages

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.

 

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Contents

Preprojective Algebras Singularity Categories and Orthogonal Decompositions
1
Contravariant Koszul Duality for DG Algebras
13
The Fundamental Group of a Morphism in a Triangulated Category
59
On Hochschild Cohomology for Selfinjective Special Biserial Algebras
79
Algebras of Finite Global Dimension
95
Continuous Frobenius Categories
115
Triangle Functors over Generic Hypersurfaces
145
Combinatorics of KP Solitons from the Real Grassmannian
155
Morphisms Determined by Objects in Triangulated Categories
195
CycleFinite Module Categories
209
Distinguished Bases of Exceptional Modules
253
Acyclic Cluster Algebras Revisited
275
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