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Tannakian reconstruction of reductive group schemes

Yifei Zhao

Vol. 321 (2022), No. 2, 467–478
Abstract

We give sharp criteria for when a reductive group scheme satisfies Tannakian reconstruction. When the base scheme is Noetherian, we explicitly identify its Tannaka group scheme.

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Keywords
Tannakian formalism, reductive group schemes
Mathematical Subject Classification
Primary: 14L15, 18M25
Milestones
Received: 15 June 2022
Revised: 25 October 2022
Accepted: 31 October 2022
Published: 21 March 2023
Authors
Yifei Zhao
Institute of Mathematics
Westfälische Wilhelms-Universität Münster
Münster
Germany