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math.RT2026
Stability functions inducing stability data
Fang Li, Kangping Qu
In this paper, we study when a stability data on an abelian length category is induced by a stability function. We give an intrinsic characterization of such stability data. For at…
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…