Some elementary properties of Laurent phenomenon algebras

Let Σ be a Laurent phenomenon (LP) seed of rank n, A(Σ), U(Σ), and L(Σ) be its corresponding Laurent phenomenon algebra, upper bound and lower bound respectively. We prove that each seed of A(Σ) is uniquely defined by its cluster and any two seeds of A(Σ) with n−1 common cluster variables are connec...

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Bibliographic Details
Main Authors: Qiuning Du, Fang Li
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022153?viewType=HTML