4 papers
math.QA2026
Quantum cluster algebra realization for stated -skein algebras and rotation-invariant bases for polygons
Peigen Cao, Min Huang, Zhihao Wang
We construct a quantum cluster structure on the skew-field of fractions of the stated -skein algebra ${\mathscr S}_Ï(\mathf…
math.CO2026
A mutation invariant for skew-symmetrizable matrices
Min Huang, Qiling Ma
Matrix mutation of skew-symmetrizable matrices is foundational in cluster algebra theory. Effective mutation invariants are essential for determining whether two matrices lie in th…
math.QA2025
Quantum cluster realization for projected stated -skein algebras
Min Huang, Zhihao Wang
We introduce a quantum cluster algebra structure inside the skew-field fractions of t…
math.RT2025
Noncommutative marked surfaces II: tagged triangulations, clusters, and their symmetries
Arkady Berenstein, Min Huang, Vladimir Retakh
The aim of the paper is to define noncommutative cluster structure on several algebras related to marked surfaces possibly with orbifold points of various orders, wh…