Doubling pre-Lie algebra of rooted trees

被引：1

作者：

Mohamed, Mohamed Belhaj ^{[1
,2
]}

机构：

[1] Taibah Univ, Math Dept, Sci Coll, Medina, Saudi Arabia

[2] Univ Sousse, Lab Math Phys Fonct Speciales & Applicat, Rue Lamine Abassi, H Sousse 4011, Tunisia

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 12期

关键词：

Rooted trees; bialgebra; Hopf algebra; pre-Lie algbera; enveloping algebra; module-bialgebra; HOPF-ALGEBRAS; RENORMALIZATION;

D O I：

10.1142/S021949882050228X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the pre-Lie algebra of rooted trees (T, ->) and we define a pre-Lie structure on its doubling space (V, (sic)). Also, we find the enveloping algebras of the two pre-Lie algebras denoted, respectively, by (H',star,Gamma) and (D', star, x). We prove that (D', star, x) is a module-bialgebra on (H', star, Gamma) and we find some relations between the two pre-Lie structures.

引用

页数：16

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