Notes on Kashiwara-Vergne and double shuffle Lie algebras

Abstract

We explain the current situation of the relationship between the Kashiwara-Vergne Lie algebra $\mathfrak{krv}$ and the double shuffle Lie algebra $\mathfrak{dmr}$. We also show the validity of Ecalle's senary relation for small depths.

arXiv commentThis paper draws materials in the case of Γ={e} from our previous joint article arXiv:2003.01844