Maximal green sequences of skew-symmetrizable 3 x 3 matrices

Date

2014-01-01

Author

Seven, Ahmet İrfan

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Maximal green sequences are particular sequences of mutations of skew-symmetrizable matrices which were introduced by Keller in the context of quantum dilogarithm identities and independently by Cecotti-Cordova-Vafa in the context of supersymmetric gauge theory. In this paper we study maximal green sequences of skew-symmetrizable 3 x 3 matrices. We show that such a matrix with a mutation-cyclic diagram does not have any maximal green sequence. We also obtain some basic properties of maximal green sequences of skew-symmetrizable matrices with mutation-acyclic diagrams.

Subject Keywords

Skew-symmetrizable matrices, Maximal green sequences, Mutation classes

URI

https://hdl.handle.net/11511/47040

Journal

LINEAR ALGEBRA AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/j.laa.2013.10.018

Collections

Department of Mathematics, Article

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Citation Formats

A. İ. Seven, “Maximal green sequences of skew-symmetrizable 3 x 3 matrices,” LINEAR ALGEBRA AND ITS APPLICATIONS, pp. 125–130, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47040.