Quotient sheaves of algebraic supergroups are superschemes

被引：27
|
作者：
Masuoka, Akira [1 ]
Zubkov, Alexandr N. [2 ]
机构：
[1] Univ Tsukuba, Inst Math, Ibaraki 3058571, Japan
[2] Omsk State Pedag Univ, Dept Math, Omsk 644099, Russia
来源：
JOURNAL OF ALGEBRA | 2011年 / 348卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Gebraic supergroup; Superscheme; Quotient sheaf; Geometric superspace; Hopf superalgebra; Yetter-Drinfeld module; RELATIVE HOPF MODULES; AFFINE QUOTIENTS; REPRESENTATIONS;
D O I：
10.1016/j.jalgebra.2011.08.038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 not equal 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. (C) 2011 Elsevier Inc. All rights reserved.
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页码：135 / 170
页数：36
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