Cluster algebras as Hall algebras of quiver representations

Details Cluster algebras as Hall algebras of quiver representations Cluster algebras as Hall algebras of quiver representations

2004-10-07

arxiv.org/abs/math/0410187v2

Mathematics

Representation Theory

17 pages ; 2 figures ; the title has changed ! some other minor modifications

Scientific paper

Recent articles have shown the connection between representation theory of
quivers and the theory of cluster algebras. In this article, we prove that some
cluster algebras of type ADE can be recovered from the data of the
corresponding quiver representation category. This also provides some explicit
formulas for cluster variables.

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