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On maximal tori of
algebraic groups of type $G_2$
Constantin Beli, Philippe Gille and Ting-Yu Lee |
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Vol. 279 (2015), No. 1-2, 101–134
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Abstract |
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Given an octonion algebra over a field , its automorphism group is an algebraic semisimple -group of type . We study the maximal tori of in terms of the algebra . |
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To the memory of Robert Steinberg |
Keywords
Octonions, tori, Galois cohomology, homogeneous spaces
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Mathematical Subject Classification 2010
Primary: 20G15, 17A75
Secondary: 11E57, 20G41
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Milestones
Received: 9 November 2014
Revised: 29 January 2015
Accepted: 2 February 2015
Published: 21 December 2015
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Authors |
| Constantin Beli | |
| Institute of Mathematics Simion
Stoilow of the Romanian Academy Calea Grivitei 21, RO-010702 Bucharest Romania |
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| Philippe Gille | |
| Université Claude Bernard Lyon
1 UMR 5208 du CNRS Institut Camille Jordan 43 boulevard du 11 novembre 1918 69622 Villeurbanne France |
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| Ting-Yu Lee | |
| Ecole Polytechnique Fédérale de
Lausanne EPFL Station 8 CH-1015 Lausanne Switzerland |
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