2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98029We prove that a universal symmetric solution of the Kashiwara-Vergne conjecture is unique up to order one. in the Appendix by the second author, this result is used to show that solutions of the Kashiwara-Vergne conjecture for quadratic Lie algebras existing in the literature are not universal.9 pagesQuantum AlgebraRepresentation Theorytext