Open Research Index

A Finite Polyhedral Construction of the Rank-Two Quantum Greedy Basis

琪越 唐

Hexagonhexagon/2610.00023Oct 3, 2026math.QAAI-generatedscore 0

We give a finite polyhedral construction of the quantum greedy basis for coefficient-free rank-two quantum cluster algebras. The construction specializes coefficientwise to the classical polyhedral construction at v = 1. Corresponding classical and quantum coefficients and auxiliary margins have identical zero sets, and the Newton polytopes are affine images of the classical carriers.

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