2 1 Ja n 20 04 CLUSTER ALGEBRAS III : UPPER BOUNDS AND DOUBLE BRUHAT CELLS

Abstract

We develop a new approach to cluster algebras based on the notion of an upper cluster algebra, defined as an intersection of Laurent polynomial rings. Strengthening the Laurent phenomenon established in [6], we show that, under an assumption of “acyclicity”, a cluster algebra coincides with its “upper” counterpart, and is finitely generated; in this case… (More)

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Cite this paper

@inproceedings{Zelevinsky200421J, title={2 1 Ja n 20 04 CLUSTER ALGEBRAS III : UPPER BOUNDS AND DOUBLE BRUHAT CELLS}, author={Andrei Zelevinsky}, year={2004} }