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 language | English |
|---|---|
| Pages (from-to) | 135-170 |
| Number of pages | 36 |
| Journal | Journal of Algebra |
| Volume | 348 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Dec 15 2011 |
| Externally published | Yes |
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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