Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras

被引：1

作者：

Wu, Hui ^{[1
]}

Guo, Shuangjian ^{[2
]}

Zhang, Xiaohui ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

[2] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China

来源：

AXIOMS | 2024年 / 13卷 / 10期

关键词：

differential Leibniz conformal algebra; cohomology; crossed module; non-Abelian extension; Wells exact sequences; AUTOMORPHISMS; COHOMOLOGY;

D O I：

10.3390/axioms13100685

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce two-term differential Leib infinity-conformal algebras and give characterizations of some particular classes of such two-term differential Leib infinity-conformal algebras. Furthermore, we discuss the classification of the non-Abelian extensions in terms of non-Abelian cohomology groups. Finally, we explore the inducibility of pairs of automorphisms and derive the analog Wells exact sequences under the circumstance of differential Leibniz conformal algebras.

引用

页数：17

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