论文标题
紧凑型谎言组的还原均相空间$ g_2 $
Reductive homogeneous spaces of the compact Lie group $G_2$
论文作者
论文摘要
第一作者捍卫了她的博士学位论文Espacioshologéneos在2001年，由P. Benito和A. Elduque监督。本论文包含了lie-yamaguti代数与标准包裹的代数$ \ mathfrak {g} _2 $在特征零字段上的分类，尤其是给出了紧凑型Lie Group $ g_2 $的同质还原空间的分类。在这项工作中，我们从更几何的方法中重新审视了这种分类。我们提供了相应同质空间的几何模型，并明确了它们之间的关系。
The first author defended her doctoral thesis Espacios homogéneos reductivos y álgebras no asociativas in 2001, supervised by P. Benito and A. Elduque. This thesis contained the classification of the Lie-Yamaguti algebras with standard enveloping algebra $\mathfrak{g}_2$ over fields of characteristic zero, which in particular gives the classification of the homogeneous reductive spaces of the compact Lie group $G_2$. In this work we revisit this classification from a more geometrical approach. We provide too geometric models of the corresponding homogeneous spaces and make explicit some relations among them.
