Quotient sheaves of algebraic supergroups are superschemes

Akira Masuoka, Alexandr N. Zubkov

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

To generalize some fundamental results on group schemes to the super context, we study the quotient sheaf G/~H of an algebraic supergroup G by its closed supersubgroup H, in arbitrary characteristic ≠ 2. Our main theorem states that G/~H is a Noetherian superscheme. This together with derived results give positive answers to interesting questions posed by J. Brundan.

Original languageEnglish
Pages (from-to)135-170
Number of pages36
JournalJournal of Algebra
Volume348
Issue number1
DOIs
Publication statusPublished - Dec 15 2011
Externally publishedYes

Keywords

  • Gebraic supergroup
  • Geometric superspace
  • Hopf superalgebra
  • Quotient sheaf
  • Superscheme
  • Yetter-Drinfeld module

ASJC Scopus subject areas

  • Algebra and Number Theory

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