Tannakian reconstruction of reductive group schemes
Yifei Zhao
TL;DR
This paper establishes precise conditions under which a reductive group scheme can be reconstructed via Tannakian formalism, providing explicit identification of the Tannaka group scheme over Noetherian bases.
Contribution
It offers sharp criteria for Tannakian reconstruction of reductive group schemes and explicitly identifies the Tannaka group scheme over Noetherian bases.
Findings
Sharp criteria for Tannakian reconstruction of reductive group schemes
Explicit identification of Tannaka group scheme over Noetherian bases
Enhanced understanding of the relationship between group schemes and their Tannakian categories
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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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models