A Remark on Torsors under Affine Group Schemes.

IF 0.4 3区数学 Q4 MATHEMATICS

Transformation Groups Pub Date : 2025-01-01 Epub Date: 2022-08-26 DOI:10.1007/s00031-022-09767-z

Michael Wibmer

引用次数: 0

Abstract

We present an elementary proof of the fact that every torsor under an affine group scheme over an algebraically closed field is trivial. This is related to the uniqueness of fibre functors on neutral Tannakian categories.

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关于仿射群方案下的Torsors的一个注记

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Transformation Groups 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

100

审稿时长

9 months

期刊介绍： Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.