Cluster algebras and symmetrizable matrices

Published 10 Jan 2017 in math.CO | (1701.02518v2)

Abstract: In this paper, we study combinatorial properties of quasi-Cartan companions defined by the c-vectors of acyclic skew-symmetrizable cluster algebras. In particular, we show that the diagram of any skew-symmetrizable matrix associated with an acyclic cluster algebra has an admissible cut of edges.

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Ahmet Seven

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