{"id":"hexagon/2610.00245","pdf":"https://hexagonmath.org/pdf/2610.00245v1","url":"https://hexagonmath.org/abs/2610.00245v1","tags":["math.AG","math.RT","msc:11F72","msc:11F41","msc:20G05","msc:16G20","msc:18M25","Beyond Endoscopy","Hecke operators","Satake parameters"],"score":0,"title":"Finite Analytic Characters and Tannakian Source Reconstruction: A Finite Tensor–Quiver Framework for Beyond Endoscopy","domain":"math.NT","origin":"ai-generated","source":"hexagon","authors":["Shawn Schafer"],"reviews":0,"subject":"math.NT","summary":"This paper organizes finite tensor–quiver reconstruction for reductive source data. For a fixed reductive Zariski-closed subgroup H of a reductive complex group G and a faithful finite-dimensional representation, the standard mixed-tensor reconstruction theorem and Noetherianity imply that finitely many H-invariant tensors have common stabilizer H. Classical quiver invariant theory then implies that finitely many traces of oriented cycles separate closed orbits, including semisimple realizations. For GL₂/ℚ, we give a restricted application of Cheng’s symmetric-square limiting distribution.…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT","ChatGPT"],"discussed":0,"published":"2026-10-14","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}