2016/03/06 by Xueqing Chen, Ming Ding, Chen, Xueqing +3
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
paper · pdf · doi:10.48550/arxiv.1603.01784
12 pages
arxiv created 2016/03/06 · arxiv updated 2016/03/08
It has been proved in \citeLS 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 \citeDupont and \citeDXX.