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Izvestiya: Mathematics, 2016, Volume 80, Issue 4, Pages 647–664
DOI: https://doi.org/10.1070/IM8432 (Mi im8432) 		 
This article is cited in 5 scientific papers (total in 5 papers)

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

E. Bayer-Fluckigera, T-Y. Leea, R. Parimalab

a École Polytechnique Fédérale de Lausanne
b Department of Mathematics and Computer Science, Emory University, Atlanta, GA
English version PDF (322 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM8432
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.
Funding agency Grant number
National Science Foundation DMS-1401319
The third author is partially supported by National Science Foundation grant DMS-1401319.
Received: 17.07.2015
Revised: 23.10.2015
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 4, Pages 17–34
DOI: https://doi.org/10.4213/im8432
Bibliographic databases:
Document Type: Article
UDC: 512.743
MSC: 11E57, 20G20, 20G25, 20G30
Language: English
Original paper language: English
Citation: E. Bayer-Fluckiger, T-Y. Lee, R. Parimala, “Embeddings of maximal tori in classical groups over local and global fields”, Izv. RAN. Ser. Mat., 80:4 (2016), 17–34; Izv. Math., 80:4 (2016), 647–664
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:324
    Russian version PDF:50
    English version PDF:9
    References:60
    First page:29
     
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