Cluster Algebras and Scattering Diagrams, Part I. Basics in Cluster Algebras
Combinatorics
2023-02-23 v3 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.2201.11371,
title = {Cluster Algebras and Scattering Diagrams, Part I. Basics in Cluster Algebras},
author = {Tomoki Nakanishi},
journal= {arXiv preprint arXiv:2201.11371},
year = {2023}
}
Comments
v1: 80 pp; v2: 82 pp, Prop 2.4 corrected, index added; v3: 85 pp. This is the final manuscript of Part I of the monograph "Cluster Algebras and Scattering Diagrams'', MSJ Mem. 41 (2023) by the author