Deformations and Homotopy of Rota-Baxter Operators and O-Operators on Lie Algebras

被引：0
|
作者：
Tang, Rong [1 ]
Bai, Chengming [2 ,3 ]
Guo, Li [4 ]
Sheng, Yunhe [1 ]
机构：
[1] Jilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R China
[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[4] Rutgers State Univ, Dept Math & Comp Sci, Newark, NJ 07102 USA
来源：
PHYSICS OF PARTICLES AND NUCLEI | 2020年 / 51卷 / 04期
关键词：
COHOMOLOGY; QUANTIZATION; INFINITY;
D O I：
10.1134/S1063779620040620
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
This article gives a brief introduction to some recent work on deformations and homotopy theories of Rota-Baxter operators and more generally O-operators on Lie algebras, by means of the differential graded Lie algebra approach. It is further shown that these theories lift the existing connection between O-operators and pre-Lie algebras to the levels of deformations and homotopy.
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页码：393 / 398
页数：6
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