Quivers of finite mutation type and skew-symmetric matrices

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Date

2010-11-01

Author

Seven, Ahmet İrfan

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Quivers of finite mutation type are certain directed graphs that first arised in Fomin-Zelevinsky's theory of cluster algebras. It has been observed that these quivers are also closely related with different areas of mathematics. In fact, main examples of finite mutation type quivers are the quivers associated with triangulations of surfaces. In this paper, we study structural properties of finite mutation type quivers in relation with the corresponding skew-symmetric matrices. We obtain a characterization of finite mutation type quivers that are associated with triangulations of surfaces and give a new numerical invariant for their mutation classes.

Subject Keywords

Geometry and Topology, Algebra and Number Theory, Numerical Analysis, Discrete Mathematics and Combinatorics

URI

https://hdl.handle.net/11511/39258

Journal

LINEAR ALGEBRA AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/j.laa.2010.04.043

Collections

Department of Mathematics, Article

Citation Formats

A. İ. Seven, “Quivers of finite mutation type and skew-symmetric matrices,” LINEAR ALGEBRA AND ITS APPLICATIONS, vol. 433, pp. 1154–1169, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39258.