Differential Graded Lie Algebras and Leibniz Algebra Cohomology

被引：2

作者：

Mostovoy, Jacob ^{[1
]}

机构：

[1] Cinvestav, Dept Matemat, Ciudad De Mexico, Mexico

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 01期

关键词：

D O I：

10.1093/imrn/rnaa086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we interpret Leibniz algebras as differential graded (DG) Lie algebras. Namely, we consider two fully faithful functors from the category of Leibniz algebras to that of DG Lie algebras and show that they naturally give rise to the Leibniz cohomology and the Chevalley-Eilenberg cohomology. As an application, we prove a conjecture stated by Pirashvili in [9].

引用

页码：196 / 209

页数：14

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