4 papers
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…
Quantum Groups for Restricted SOS Models
Giovanni Felder, Muze Ren
We introduce the notion of restricted dynamical quantum groups through their category of representations, which are monoidal categories with a forgetful functor to the category of…