Rational Conjugacy Classes of Maximal Tori In Groups of Type $D_n$
Group Theory
2020-05-11 v1 Algebraic Geometry
Number Theory
Abstract
We give a concrete characterization of the rational conjugacy classes of maximal tori in groups of type , with specific emphasis on the case of number fields and p-adic fields. This includes the forms associated to quadratic spaces, all of their inner and outer forms as well as the Spin groups, their simply connected covers. In particular, in this work we handle all (simply connected) outer forms of .
Keywords
Cite
@article{arxiv.1704.01958,
title = {Rational Conjugacy Classes of Maximal Tori In Groups of Type $D_n$},
author = {Andrew Fiori},
journal= {arXiv preprint arXiv:1704.01958},
year = {2020}
}