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On positivity for generalized cluster variables of affine quivers
Published 6 Mar 2016 in math.RT and math.RA | (1603.01784v1)
Abstract: It has been proved in \cite{LS} that cluster variables in cluster algebras of every skew-symmetric cluster algebra are positive. We prove that any regular generalized cluster variable of an affine quiver is positive. As a corollary, we obtain that generalized cluster variables of affine quivers are positive and construct various positive bases. This generalizes the results in \cite{Dupont} and \cite{DXX}.
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