Group superschemes

A. Masuoka, A. N. Zubkov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)89-145
Number of pages57
JournalJournal of Algebra
Volume605
DOIs
Publication statusPublished - 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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