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.

引用

页码：393 / 398

页数：6

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