论文标题
rota-baxter的统治列表的统治者统治理论
Cohomology theory of Rota-Baxter pre-Lie algebras of arbitrary weights
论文作者
论文摘要
本文致力于研究变形，即旋转 - 巴克斯特列中的lie代数的共同论理论。首先，我们给出了一个任意权重的rota-baxter前代数的新概念，并定义了rota-baxter pre-lie lie代数的共同体学理论。然后，我们研究较低程度的同胞组的形式变形。最后，我们使用第二个共同体学组对rota-baxter前代代数的Abelian扩展进行了分类，并使用第三个共同体学组将任意权重的骨骼rota-baxter Pre-lie 2-代数分类为应用。
This paper is devoted to studying deformation, cohomology theory of Rota-Baxter pre-Lie algebras of arbitrary weights. First we give the notion of a new representation of a Rota-Baxter pre-Lie algebra of arbitrary weight and define the cohomology theory of a Rota-Baxter pre-Lie algebra of arbitrary weight. Then we study formal deformations by lower degree cohomology groups. Finally, we classify abelian extensions of Rota-Baxter pre-Lie algebras of arbitrary weight using the second cohomology group, and classify skeletal Rota-Baxter pre-Lie 2-algebra of arbitrary weight using the third cohomology group as applications.
