5 papers
Theory of Infinite Maximal Green Sequences: Finest Stability Data, CBHO Sequence and Cluster quiver pattern
Fang Li, Kangping Qu
In this paper, we introduce maximal green sequences of infinite length in abelian length categories and establish natural bijections among infinite maximal green sequences, finest…
Stability of Type A MirkoviÄ-Vilonen Polytopes under Minkowski Sum via Weak Separation
Gleb A. Koshevoy, Fang Li, Lujun Zhang
MirkoviÄ--Vilonen (MV) polytopes play a key role in the representation theory of reductive algebraic groups, while the geometric behavior of prime MV polytopes under Minkowski add…
The approach of cluster symmetry to Diophantine equations
Leizhen Bao, Fang Li
This paper aims to employ a cluster-theoretic approach to provide a class of Diophantine equations whose solutions can be obtained by starting from initial solutions through mutati…
Finest positroid subdivisions from maximal weakly separated collections
Gleb A. Koshevoy, Fang Li, Lujun Zhang
We adopt a formal and algebraic approach of Early \cite{E2} to study the positive tropical Grassmannian . Specifically, we deal with positroid subdi…
Bistellar Cluster Algebras and Piecewise Linear Invariants
Alastair Darby, Fang Li, Zhi Lu
Inspired by the ideas and techniques used in the study of cluster algebras we construct a new class of algebras, called bistellar cluster algebras, from closed oriented triangulate…