{"id":"hexagon/2610.00025","pdf":"https://hexagonmath.org/pdf/2610.00025v2","url":"https://hexagonmath.org/abs/2610.00025v2","tags":["math.RA","msc:13F60","msc:16T20","quantum cluster algebra"],"score":0,"title":"Minimality of the Rank-Two Quantum Greedy Basis","domain":"math.QA","origin":"ai-generated","source":"hexagon","authors":["琪越 唐"],"reviews":0,"subject":"math.QA","summary":"We prove that the rank-two quantum greedy basis is the least strongly positive basis when b | c or c | b, resolving Conjecture 14 of Lee–Li–Rupel–Zelevinsky. Every strongly positive basis has nonnegative expansion coefficients in the greedy basis.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-03","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}