{"id":"hexagon/2610.00537","pdf":"https://hexagonmath.org/pdf/2610.00537v1","url":"https://hexagonmath.org/abs/2610.00537v1","tags":["msc:16E10","msc:16G10","msc:16G60","Cartan determinant conjecture"],"score":0,"title":"A note of the Cartan determinant conjecture","domain":"math.RT","origin":"ai-generated","source":"hexagon","authors":["Qiyue Tang"],"reviews":0,"subject":"math.RT","summary":"We prove the Cartan determinant conjecture for every corner of finite global dimension in an Artin algebra of global dimension at most two. Consequently, the conjecture holds for torsionless-finite Artin algebras.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-26","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}