4 papers
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…
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 the…
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…
A Representation theoretic perspective of Koszul theory
Ales Bouhada, Min Huang, Zetao Lin +1
We discover a new connection between Koszul theory and representation theory. Let $\La$ be a quadratic algebra defined by a locally finite quiver with relations. Firstly, we give a…