Dominance Regions for Rank Two Cluster Algebras
Dylan Rupel, Salvatore Stella
TL;DR
This paper investigates the geometric structure of dominance regions in rank 2 cluster algebras, focusing on the polygons that define the order on g-vectors, providing insights into their combinatorial properties.
Contribution
It introduces a detailed geometric analysis of dominance polygons in rank 2 cluster algebras, revealing new structural insights.
Findings
Characterization of dominance polygons in rank 2
Identification of geometric properties of g-vector order
Enhanced understanding of cluster algebra combinatorics
Abstract
We study the polygons defining the dominance order on -vectors in cluster algebras of rank 2.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry