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math.AC2017★ 11 cited
Factoriality and class groups of cluster algebras
Ana Garcia Elsener, Philipp Lampe, Daniel Smertnig
Locally acyclic cluster algebras are Krull domains. Hence their factorization theory is determined by their (divisor) class group and the set of classes containing height-1 prime i…
math.CO2017
Variations on Baur--Marsh's determinant
Philipp Lampe
Baur and Marsh computed the determinant of a matrix assembled from the cluster variables in a cluster algebra of type A. In this article we wish to describe two variations. On the…