Matrix Factorizations and Representations of Quivers II: type ADE case

2005/11/07 by Kajiura, Hiroshige, Saito, Kyoji, Takahashi, Atsushi · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0511155

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.

Cited by

• A recollement approach to Brieskorn-Pham singularities
• Triangulated categories arising from n-fold matrix factorizations
• Tilting theory for hypersurface singularities of dimension one

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