论文标题
rota-baxter 3-lie代数的表示和群
Representations and cohomolgies of Rota-Baxter 3-Lie algebras
论文作者
论文摘要
本文的目的是研究具有任何权重的Rota-Baxter 3-Lie代数的表示和共同体。我们介绍了Rota-Baxter 3-Lie代数的表示形式,匹配对和Manin Triples。此外,我们讨论了rota-baxter 3-lie代数的共同体学理论。还研究了rota-baxter 3-lie代数的变形和中央延伸。
The goal of the present paper is to investigate representations and cohomologies of Rota-Baxter 3-Lie algebras with any weight. We introduce representations, matched pairs and Manin triples of Rota-Baxter 3-Lie algebras. Furthermore, we discuss cohomology theory of Rota-Baxter 3-Lie algebras. The deformations and central extensions of Rota-Baxter 3-Lie algebras are also studied.