A note on the spectral properties of cluster algebras

Published 24 Nov 2010 in math.RT | (1011.5520v1)

Abstract: Let $Q$ be a finite quiver without oriented cycles and $k$ an algebraically closed field.In this paper we establish a connection between cluster algebras and the representation theory of the path algebra $kQ$, in terms of the spectral properties of the quivers mutation equivalent to $Q$.

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