Left counital Hopf algebras on bi-decorated planar rooted forests and Rota-Baxter systems

Peng, XS; Zhang, Y; Gao, X; Luo, YF

Zhang, Y (corresponding author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.; Zhang, Y (corresponding author), NUIST, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China.

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (2): 219

Abstract

Involving an extended 1-cocycle condition, we first define a coproduct on the space of bi-decorated planar rooted forests to equip it with a left coun......

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