Matrix factorizations and representations of quivers II: Type ADE case
By H. Kajiura, Kyoji Saito, A. Takahashi. 2005
160 citations recorded by the source corpus.
Abstract We study a triangulated category of graded matrix factorizations for a polynomial of type ADE. We show that it is equivalent to the derived category of finitely generated modules over the path algebra of the corresponding Dynkin quiver. Also, we discuss a special stability condition for the triangulated category in the sense of T. Bridgeland, which is naturally defined by the grading.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b83f13296158825974e631426e4a36f9bdab3d69
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Inducing stability conditions (2007, unknown): “Related examples are also studied in [22].”
- Spectral analysis of finite dimensional algebras and singularities (2008, background): “With some extra work, concerning the exact shape of the mentioned exceptional sequence and its perpendicular category, one gets the following result which is due to several authors [33],[34], [74] and [53].”
- Extended canonical algebras and Fuchsian singularities (2006, methodology): “Hence for χX = 0 it is more natural to investigate the L(p)-graded singularity S = S(p, λ) and its triangulated category of singularities D L(p) Sg (S) which in the tubular case is equivalent to Db(coh(X)) due to recent work of Ueda [35].”