A remark on the structure of torsors under an affine group scheme
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It is well known that all torsors under an affine algebraic group over an algebraically closed field are trivial. We note that under suitable conditions this also holds if the group is not necessarily of finite type. This has an application to isomorphisms of fibre functors on neutral Tannakian categories.
KeywordsTorsor Algebraic group Tannakian category
Mathematics Subject Classification14L15
- 1.Deligne, P., Milne, J.S.: Tannakian categories, Hodge Cycles, Motives, and Shimura Varieties, LNM 900, 1982, 101–228. An updated version is available under www.jmilne.org/math/