O-Operators on Lie ∞-algebras with respect to Lie ∞-actions

被引：4
|
作者：
Caseiro, Raquel [1 ]
da Costa, Joana Nunes [1 ]
机构：
[1] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal
来源：
COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 07期
关键词：
Lie infinity-algebra; O-operator; Maurer Cartan element;
D O I：
10.1080/00927872.2022.2025819
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define O-operators on a Lie infinity-algebra E with respect to an action of E on another Lie infinity-algebra and we characterize them as Maurer-Cartan elements of a certain Lie infinity-algebra obtained by Voronov's higher derived brackets construction. The Lie infinity-algebra that controls the deformation of O-operators with respect to a fixed action is determined.
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页码：3079 / 3101
页数：23
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