E. Bayer-Fluckiger, T-Y. Lee, R. Parimala, “Embeddings of maximal tori in classical groups over local and global fields”, Izv. RAN. Ser. Mat., 2016, Volume 80, Issue 4,Pages <nobr>17

This article is cited in 5 papers

Embeddings of maximal tori in classical groups over local and global fields

E. Bayer-Fluckiger^a, T-Y. Lee^a, R. Parimala^b

^a École Polytechnique Fédérale de Lausanne
^b Department of Mathematics and Computer Science, Emory University, Atlanta, GA

Abstract: Embeddings of maximal tori in classical groups over fields of characteristic not 2 are the subject matter of several recent papers. The aim of the present paper is to give necessary and sufficient conditions for such an embedding to exist, when the base field is a local field, or the field of real numbers. This completes the results of [3], where a complete criterion is given for the Hasse principle to hold when the base field is a global field.

Keywords: maximal torus, classical group.

UDC: 512.743

MSC: 11E57, 20G20, 20G25, 20G30

Received: 17.07.2015
Revised: 23.10.2015

Language: English

DOI: 10.4213/im8432