Matrix factorizations and representations of quivers II: type ADE case

• Autores: Hiroshige Kajiura, Kyoji Saito, Atsushi Takahashi
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 211, Nº 1, 2007, págs. 327-362
• Idioma: inglés
• DOI: 10.1016/j.aim.2006.08.005
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• Resumen

  • 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