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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}_ω(\mathfra…
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…