Muze Ren

collaborators

4 papers

math.QA2026

Double shuffle relations and double antipodes

Muze Ren

In this note, we prove that for every Lie series $ψ$ with no terms of degree less than 3, the relation $[ψ (x, y), x] + [ψ (- x - y, y), - x - y] = 0$ is equivalent to $S_{*} (ψ_{*}) = - ψ_{*}$ , where $ψ_…

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 $dmr_{0}$ injects to the Kashiwara-Vergne Lie algebra $krv_{2}$ in \cite{Schneps2012,Schneps2025}.…

math.RT2023

Groupoid intertwiner and twist for dynamical Yang--Baxter equation: part I

Muze Ren

Intertwiner is a homomorphism between two existing dynamical R matrices, first introduced by Baxter in eight vertex-SOS correspondence, we develop certain equivalence relations amo…

math.RT2023

Baxterization for the dynamical Yang-Baxter equation

Muze Ren

The Baxterization process for the dynamical Yang-Baxter equation is studied. We introduce the local dynamical Hecke ,Temperley-Lieb and Birman-Murakami-Wenzl operators, then by ins…