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math.RT2026
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…
math.RT2026
Stability of Type A Mirković-Vilonen Polytopes under Minkowski Sum via Weak Separation
Gleb A. Koshevoy, Fang Li, Lujun Zhang
Mirković--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 addi…
math.RT2025
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…