论文标题
在古典组和哈斯原理中最大托里的嵌入
Embeddings of maximal tori in classical groups and Hasse principles
论文作者
论文摘要
本说明的目的是重新审查eTale代数嵌入的局部全球原则问题，并将其融入中央简单代数中，而不是全球特征而不是2的全球领域。在本文中，我们对阻塞组进行了更简单的描述。还表明，如果Etale代数是成对独立场扩展的产物，则Hasse原理将保持。
The aim of this note is to revisit the question of local-global principles for embeddings of etale algebras with involution into central simple algebras with involution over global fields of characteristic not 2. A necessary and sufficient condition is given in a joint paper with Tingyu Lee and Raman Parimala. In the present paper, we give a simpler description of the obstruction group. It is also shown that if the etale algebra is a product of pairwise independent field extensions, then the Hasse principle holds.
