Affine group dg-schemes and linear representations I - Basic theory and Tannakian reconstructions

Jaehyeok Lee; Jae-Suk Park

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arXiv · 1904.03162

Affine group dg-schemes and linear representations I - Basic theory and Tannakian reconstructions

Jaehyeok Lee·Jae-Suk Park

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Abstract

We develop a basic theory of affine group dg-schemes, their Lie algebraic counterparts and linear representations. We prove Tannaka type reconstruction theorems that an affine group dg-scheme can be recovered from the dg-tensor category of its linear representations as well as from the rigid dg-tensor category of its finite dimensional linear representations along with the forgetful functors to the underlying dg-tensor category of cochain complexes.

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BibTeX RIS

Jaehyeok Lee, Jae-Suk Park. 2019-04-05. Affine group dg-schemes and linear representations I - Basic theory and Tannakian reconstructions. https://arxiv.org/abs/1904.03162

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