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Toric-friendly groups
Mikhail Borovoi and Zinovy Reichstein |
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Vol. 5 (2011), No. 3, 361–378
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Abstract |
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Let G be a connected linear algebraic group over a field k. We say that G is toric-friendly if for any field extension K ∕ k and any maximal K-torus T in G the group G(K) acts transitively on (G ∕ T)(K). Our main result is a classification of semisimple (and under certain assumptions on k, of connected) toric-friendly groups. |
Keywords
toric-friendly group, linear algebraic group, semisimple
group, maximal torus, rational point, elementary
obstruction
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Mathematical Subject Classification 2000
Primary: 20G10
Secondary: 20G15, 14G05
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Milestones
Received: 3 April 2010
Revised: 17 October 2010
Accepted: 17 October 2010
Published: 10 September 2011
Proposed: Jean-Louis Colliot-Th\e'l\e`ne
Seconded: Andrei Zelevinsky, Hendrik W. Lenstra
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Authors |
| Mikhail Borovoi | |
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Tel Aviv University
School of Mathematical Sciences
69978 Tel Aviv
Israel
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| http://www.math.tau.ac.il/~borovoi | |
| Zinovy Reichstein | |
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University of British Columbia
Department of Mathematics
1984 Mathematics Road
Vancouver, BC V6T 1Z2
Canada
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| http://www.math.ubc.ca/~reichst | |
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