Uniqueness in the Kashiwara-Vergne conjecture
arXiv:math/0508077
Abstract
We 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 pages