Towards a uniform subword complex description of acyclic finite type cluster algebras
Towards a uniform subword complex description of acyclic finite type cluster algebras
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DOI：
10.5802/alco.25
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发表时间：
2016-08
期刊：
影响因子：
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通讯作者：
Sarah B. Brodsky;Christian Stump
中科院分区：
文献类型：
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作者：
Sarah B. Brodsky;Christian Stump
如何利用子字复形逼近有限型无圈簇代数是近年来建立起来的。在本文中，我们继续这一研究，通过描述的c-和g-向量，并通过提供一个详细的描述牛顿多面体的F-多项式。特别是，我们表明，这是一个复杂的描述将意味着有限型集群复合体实现的Minkowski总和的牛顿多面体的F-多项式，或集群变量，分别。
It has been established in recent years how to approach acyclic cluster algebras of finite type using subword complexes. In this paper, we continue this study by describing the c- and g-vectors, and by providing a conjectured description of the Newton polytopes of the F-polynomials. In particular, we show that this conjectured description would imply that finite type cluster complexes are realized by the duals of the Minkowski sums of the Newton polytopes of either the F-polynomials, or of the cluster variables, respectively.