From the 1 of 2 linked papers with an AI index.
2 papers
math.QA2026
Double shuffle relations and double antipodes
Muze Ren
The paper proves that every element of the double shuffle Lie algebra satisfies the infinitesimal hexagon equation, using a comparison of two Hopf algebra structures.
math.QA2026
Brunnian braids and the inclusion from double shuffle Lie algebra to Kashiwara-Vergne Lie algebra
Muze Ren
It is proved by L.~Schneps that the double shuffle Lie algebra injects to the Kashiwara-Vergne Lie algebra in \cite{Schneps2012,Schneps2025}.…