Universal algebra of a Horn-Lie algebra and group-like elements

被引：30

作者：

Laurent-Gengoux, Camille ^{[1
]}

Makhlouf, Abdenacer ^{[2
]}

Teles, Joana ^{[3
]}

机构：

[1] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7122, F-57045 Metz, France

[2] Univ Haute Alsace, Lab Math Informat & Applicat, F-68093 Mulhouse, France

[3] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2018年 / 222卷 / 05期

关键词：

HOM-ALGEBRAS; VIRASORO ALGEBRA; DEFORMATIONS; HOMOLOGY;

D O I：

10.1016/j.jpaa.2017.06.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct the universal enveloping algebra of a Horn-Lie algebra and endow it with a Hom-Hopf algebra structure. We discuss group-like elements that we see as a Hom-group integrating the initial Horn-Lie algebra. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1139 / 1163

页数：25

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