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.
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页数：16
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