A new cohomology theory for strict Lie 2-algebras

被引：2

作者：

Angulo, Camilo ^{[1
]}

机构：

[1] Univ Fed Fluminense, Dept Matemat Aplicada, Inst Matemat, Rua Prof Marcos Waldemar de Freitas Reis S-N, BR-24210201 Niteroi, RJ, Brazil

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2022年 / 24卷 / 03期

关键词：

Cohomology; higher Lie theory; REPRESENTATIONS; HOMOTOPY; DEFORMATIONS; INTEGRATION;

D O I：

10.1142/S0219199721500176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new cohomology theory associated to a strict Lie 2-algebra. This cohomology theory is shown to also extend the classical cohomology theory of Lie algebras; in particular, we show that the second cohomology group classifies an appropriate type of extension.

引用

页数：42

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