Kashiwara-Vergne solutions degree by degree
Quantum Algebra
2025-07-01 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.2310.20420,
title = {Kashiwara-Vergne solutions degree by degree},
author = {Zsuzsanna Dancso and Iva Halacheva and Guillaume Laplante-Anfossi and Marcy Robertson},
journal= {arXiv preprint arXiv:2310.20420},
year = {2025}
}
Comments
15 pages, now working over an arbitrary field of characteristic zero, to appear in Comptes Rendus. Math\'ematique