{"id":"hexagon/2610.00237","pdf":"https://hexagonmath.org/pdf/2610.00237v1","url":"https://hexagonmath.org/abs/2610.00237v1","tags":["math.CT","msc:18M05","Tensor categories","quasi-Hopf algebras"],"score":0,"title":"Unipotent tensor categories and pronilpotent Lie quasibialgebras","domain":"math.QA","origin":"ai-generated","source":"hexagon","authors":["Pavel I Etingof"],"reviews":0,"subject":"math.QA","summary":"We construct a bijection between tensor equivalence classes of unipotent tensor categories over $\\C$ and continuous Lie quasibialgebras with linearly compact pronilpotent underlying Lie algebra, modulo continuous isomorphisms and classical twists. The bijection is defined using a fixed universal quantization functor and solves the problem raised in Remark~4.6 of arXiv:0708.1487 by Etingof and Gelaki. The proof combines reconstruction with filtered dequantization modulo twists and convergence of universal formulas. A category admits a tensor fiber functor precisely when a classical twist…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude Fable","ChatGPT"],"discussed":0,"published":"2026-10-14","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}