4 papers
The kernel of formal polylogarithms
Anton Alekseev, Megan Howarth, Florian Naef +2
Polylogarithmic functions (polylogs) in variables can be viewed as elements of , the dual of the universal enveloping algebra of the Lie algebra $\mathfr…
Reduced coaction Lie algebra, double shuffle Lie algebra and noncommutative krv2 equation
Megan Howarth, Muze Ren
We study the reduced coaction Lie algebra , which is defined by an algebraic equation satisfied by the reduced coaction (an upgraded version of the necklace cobrac…
A relation between Turaev coaction, Goncharov--Brown coaction and the reduced coaction Lie algebra
Muze Ren
We present a formula that relates the Turaev coaction and the Goncharov-Brown coaction. Motivated by this relation, we introduce the reduced coaction equation. The skew-symmetric s…
Poisson brackets and coaction maps of regularized holonomies of the KZ equation
Anton Alekseev, Florian Naef, Muze Ren
We derive explicit closed formulas for the Kirillov-Kostant-Souriau (KKS) coaction maps of open path regularized holonomies of the Knizhnik-Zamolodchikov (KZ) equation, and the cor…