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Sign-Coherence of C-Vectors and Maximal Green Sequences for Acyclic Sign-Skew-Symmetric Matrices

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Abstract

In this paper we construct an unfolding for c −vectors of acyclic sign-skew symmetric matrices and we also prove that the sign-coherence property holds for acyclic sign-skew-symmetric matrices. Then we prove that every acyclic sign-skew-symmetric matrix admits a maximal green sequence.

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Acknowledgments

This project is supported by the National Natural Science Foundation of China (No.11671350) and the Zhejiang Provincial Natural Science Foundation o China (Nos. LY19A010023 and LY18A010032).

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University (Yuquan Campus), Hangzhou, Zhejiang, 310027, People’s Republic of China

    Diana Ahmad & Fang Li

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  1. Diana Ahmad
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  2. Fang Li
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Correspondence to Fang Li.

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Presented by: Christof Geiss

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Ahmad, D., Li, F. Sign-Coherence of C-Vectors and Maximal Green Sequences for Acyclic Sign-Skew-Symmetric Matrices. Algebr Represent Theor 24, 811–827 (2021). https://doi.org/10.1007/s10468-020-09970-0

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  • DOI: https://doi.org/10.1007/s10468-020-09970-0

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