منابع مشابه
Matrix Factorizations and Representations of Quivers I
This paper introduces a mathematical definition of the category of D-branes in Landau-Ginzburg orbifolds in terms of A∞-categories. Our categories coincide with the categories of (gradable) matrix factorizations for quasi-homogeneous polynomials. After setting up the necessary definitions, we prove that our category for the polynomial x is equivalent to the derived category of representations o...
متن کاملMatrix Factorizations and Representations of Quivers Ii : Type Ade Case
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.
متن کاملYitp-05-65 Rims-1521 Matrix Factorizations and Representations of Quivers Ii: Type Ade Case
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.
متن کاملRiordan group approaches in matrix factorizations
In this paper, we consider an arbitrary binary polynomial sequence {A_n} and then give a lower triangular matrix representation of this sequence. As main result, we obtain a factorization of the innite generalized Pascal matrix in terms of this new matrix, using a Riordan group approach. Further some interesting results and applications are derived.
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Article history: Received 31 May 2015 Available online 1 March 2016 Communicated by Luchezar L. Avramov MSC: primary 16E05, 16E35, 16E65
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2012
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-012-1520-1