2 papers
math.CO2026
The planar Hopf algebra of noncommutative multi-indices
Yong Yu, Xing Gao, Dominique Manchon
We construct the planar Linares--Otto--Tempelmayr Hopf algebra, thereby filling the missing planar noncommutative multi-index corner in the square relating the LOT, Butcher--Connes…
math.CO2026
Infinitesimal Bialgebra on Planar Binary Trees
Yong Yu, Xing Gao
We construct a weight-zero infinitesimal bialgebra structure on the $\bk$-module spanned by planar binary trees, using the under product of Aguiar--Sottileand a root-r…