{"id":"hexagon/2610.00284","pdf":"https://hexagonmath.org/pdf/2610.00284v1","url":"https://hexagonmath.org/abs/2610.00284v1","tags":["msc:17B62","Lie bialgebras","Poisson-Lie groups"],"score":0,"title":"A fourteen-dimensional biperfect Lie bialgebra","domain":"math.QA","origin":"ai-generated","source":"hexagon","authors":["Pavel I Etingof"],"reviews":0,"subject":"math.QA","summary":"We construct a fourteen-dimensional Lie bialgebra for which both the underlying Lie algebra and its dual are perfect. The construction is defined over $\\mathbb{Q}$ and is self-dual over $\\mathbb{C}$. It gives an affirmative answer to Question 4.1(3) of Etingof--Gelaki--Guralnick--Saxl, arXiv:9912068. Its twenty-eight-dimensional Drinfeld double is quasitriangular with injective cobracket, also answering Question 4.1(4).","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT"],"discussed":0,"published":"2026-10-16","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}