例外对称空间的统一构造
A Unified Construction of Exceptional Symmetric Spaces
AI总结：
该研究给出了所有单连通不可约例外紧对称空间的统一构造，通过确定其包含关系得到全测地嵌入的统一描述，发现其包含结构具意外对称性，揭示了例外对称空间间的深层几何关联。
AI中文摘要：
我们给出所有单连通不可约例外紧对称空间的统一构造，将其作为E₈的全测地子流形。利用该构造，通过确定例外对称空间间的所有包含关系，得到了它们之间全测地嵌入的统一描述。所得包含结构呈现出显著且意外的对称性，暗示例外对称空间间存在更深层的几何关联。
英文摘要：
We present a unified construction of all simply connected irreducible exceptional compact symmetric spaces as totally geodesic submanifolds of $E_{8}$. Using this construction, we obtain a unified description of totally geodesic embeddings between exceptional symmetric spaces by determining all inclusion relations among them. The resulting inclusion structure exhibits a remarkable and unexpected symmetry, suggesting a deeper geometric relationship among exceptional symmetric spaces.
