The isotropic loop reductive torsor conjecture
The isotropic loop reductive torsor conjecture
Let be a loop reductive group scheme over , and suppose that all semisimple quotients of are isotropic. Isotropic loop reductive torsor conjecture. Then
This would generalize the preceding example for reductive groups whose semisimple quotients are isotropic, where rationally trivial torsors are trivial. The source presents this as an expected generalization and gives no resolution.
Sources & referencesView supporting material
Primary source
Vladimir Chernousov, Philippe Gille and Arturo Pianzola, “A classification of torsors over Laurent polynomial rings”, arXiv:1510.05621 (2015).
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