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• W2522643525 abstract "In this paper, we build the unfolding approach from acyclic sign-skew-symmetric matrices of finite rank to skew-symmetric matrices of infinite rank, which can be regard as an improvement of that in the skew-symmetrizable case. Using this approach, we give a positive answer to the problem by Berenstein, Fomin and Zelevinsky in cite{fz3} which asks whether an acyclic sign-skew-symmetric matrix is always totally sign-skew-symmetric. As applications, the positivity for cluster algebras in acyclic sign-skew-symmetric case is given; further, the $F$-polynomials of cluster algebras are proved to have constant term 1 in acyclic sign-skew-symmetric case." @default.
• W2522643525 created "2016-09-30" @default.
• W2522643525 creator A5007392914 @default.
• W2522643525 creator A5047916176 @default.
• W2522643525 date "2016-09-20" @default.
• W2522643525 modified "2023-09-27" @default.
• W2522643525 title "Unfolding of acyclic sign-skew-symmetric cluster algebras and applications to positivity and $F$-polynomials" @default.
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