Kashiwara-Vergne solutions degree by degree
arXiv:2310.20420 · doi:10.5802/crmath.750
Abstract
We show that solutions to the Kashiwara-Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel'd associators, which under the Alekseev-Torossian conjecture, may comprise all associators. We also give a proof that the associated graded Lie algebra of the Kashiwara-Vergne group is isomorphic to the graded Kashiwara-Vergne Lie algebra.
15 pages, now working over an arbitrary field of characteristic zero, to appear in Comptes Rendus. Mathématique