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Cluster Algebras and Scattering Diagrams, Part I. Basics in Cluster Algebras

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arxiv 2201.11371 v3 pith:XLQ4J64A submitted 2022-01-27 math.CO math.RA

Tomoki Nakanishi This is my paper · ORCID
classification math.COmath.RA
keywords clusteralgebrasbasicbasicsconcerningdiagramsespeciallyfirst
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This is a first step guide to the theory of cluster algebras. We especially focus on basic notions, techniques, and results concerning seeds, cluster patterns, and cluster algebras.

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  1. Local and global patterns of rank 3 $G$-fans of totally-infinite type

    math.CO 2024-11 conditional novelty 6.0 of 10

    Infinite-type cluster algebras have G-fans that are never complete, and rank 3 local behavior falls into six types that correlate with global fan shapes.

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