Quotient sheaves of algebraic supergroups are superschemes

Akira Masuoka; Alexandr N. Zubkov

doi:10.1016/j.jalgebra.2011.08.038

Quotient sheaves of algebraic supergroups are superschemes

Akira Masuoka, Alexandr N. Zubkov

Research output: Contribution to journal › Article › peer-review

29 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 language	English
Pages (from-to)	135-170
Number of pages	36
Journal	Journal of Algebra
Volume	348
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.08.038
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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10.1016/j.jalgebra.2011.08.038

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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.",

keywords = "Gebraic supergroup, Geometric superspace, Hopf superalgebra, Quotient sheaf, Superscheme, Yetter-Drinfeld module",

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AU - Masuoka, Akira

AU - Zubkov, Alexandr N.

PY - 2011/12/15

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AB - 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.

KW - Gebraic supergroup

KW - Geometric superspace

KW - Hopf superalgebra

KW - Quotient sheaf

KW - Superscheme

KW - Yetter-Drinfeld module

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DO - 10.1016/j.jalgebra.2011.08.038

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JO - Journal of Algebra

JF - Journal of Algebra

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ER -

Quotient sheaves of algebraic supergroups are superschemes

Abstract

Keywords

ASJC Scopus subject areas

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