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20112025
most citedPositivity in Quantum Cluster Algebras and Flags of Valued Quiver Representations

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math.RT2025

Dominance regions for affine cluster algebras

Nathan Reading, Dylan Rupel, Salvatore Stella

We determine dominance regions associated to cluster algebras of affine type. In the most interesting cases, the dominance region is a line segment, which we describe explicitly. M…

math.RA2025

Dilogarithm identities of higher degree and cluster -variable periodicity

Zachary Nash, Dylan Rupel

We use the periodicities of cluster groupoid mutations established by Li and the second author to prove that the dilogarithm identities of higher degree obtained by Nakanishi follo…