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arXiv · 2011.14207

Group superschemes

A. Masuoka·A. N. Zubkov
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Abstract

We develop a general theory of algebraic group superschemes, which are not necessarily affine. Our key result is a category equivalence between those group superschemes and Harish-Chandra pairs, which generalizes the result known for affine algebraic group superschemes. Then we present the applications, including the Barsotti-Chevalley Theorem in the super context, and an explicit construction of the quotient superscheme $\mathbb{G}/\mathbb{H}$ of an algebraic group superscheme $\mathbb{G}$ by a group super-subscheme $\mathbb{H}$.

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A. Masuoka, A. N. Zubkov. 2020-11-28. Group superschemes. https://arxiv.org/abs/2011.14207

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