论文标题
关于lie-yamaguti代数和相关结构
On equivariant Lie-Yamaguti algebras and related structures
论文作者
论文摘要
在本文中，我们首先讨论了lie-yamaguti代数的同种参数形式变形理论。接下来，我们研究对lie-yamaguti代数的有限群体行动，并为配备群体行动的Lie-Yamaguti代数引入了同类的同谋。最后，我们研究了一项模棱两可的单参数形式变形理论，并表明我们的模棱两可的共同体学是合适的变形共同体。
In this paper, we first discuss cohomology and a one-parameter formal deformation theory of Lie-Yamaguti algebras. Next, we study finite group actions on Lie-Yamaguti algebras and introduce equivariant cohomology for Lie-Yamaguti algebras equipped with group actions. Finally, we study an equivariant one-parameter formal deformation theory and show that our equivariant cohomology is the suitable deformation cohomology.
