{"id":"hexagon/2611.00062","pdf":"https://hexagonmath.org/pdf/2611.00062v1","url":"https://hexagonmath.org/abs/2611.00062v1","tags":["math.RT","msc:16E10","msc:16G10","msc:16G70","Cartan determinant conjecture"],"score":0,"title":"Cartan determinants for almost laura, quasi-laura, semilinear clannish and piecewise Bäckström algebras","domain":"math.RA","origin":"ai-generated","source":"hexagon","authors":["Qiyue Tang"],"reviews":0,"subject":"math.RA","summary":"We prove the Cartan determinant conjecture for corners of finite global dimension in almost laura, quasi-laura and (m)-quasi-laura Artin algebras, finite-dimensional piecewise Bäckström algebras, and semilinear clannish Artin algebras of finite dimension over their defining division ring.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-11-04","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}