A note on the spectral properties of cluster algebras

Details A note on the spectral properties of cluster algebras A note on the spectral properties of cluster algebras

2010-11-24

arxiv.org/abs/1011.5520v1

Mathematics

Representation Theory

Scientific paper

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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