Embeddings of maximal tori in classical groups and Hasse principles
Number Theory
2020-05-15 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.2005.06996,
title = {Embeddings of maximal tori in classical groups and Hasse principles},
author = {Eva Bayer-Fluckiger},
journal= {arXiv preprint arXiv:2005.06996},
year = {2020}
}