Extending structures for 3-Lie algebras

被引：10
作者：
Zhang, Tao [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 04期
关键词：
3-Lie algebras; cohomology; deformations; extending structures; unified product; LEIBNIZ; EXTENSIONS;
D O I：
10.1080/00927872.2021.1984493
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The cohomology and deformation theory of 3-Lie algebras are revisited. The theory of extending structures and unified product for 3-Lie algebras are developed. It is proved that the extending structures of 3-Lie algebras can be classified by using some non-abelian cohomology and deformation map theory.
引用
收藏
页码：1469 / 1497
页数：29
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