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 G/H of an algebraic group superscheme G by a group super-subscheme H.
| Original language | English |
|---|---|
| Pages (from-to) | 89-145 |
| Number of pages | 57 |
| Journal | Journal of Algebra |
| Volume | 605 |
| DOIs | |
| Publication status | Published - Sept 1 2022 |
Keywords
- Abelian supervarieties
- Group superschemes
- Harish-Chandra pairs
- Hopf superalgebras
- Pseudoabelian group superschemes
- Sheaf quotient
- Supercoalgebras
ASJC Scopus subject areas
- Algebra and Number Theory
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