Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field
Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field
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DOI：
10.1007/s00031-012-9203-8
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发表时间：
2011-11
影响因子：
0.7
通讯作者：
A. Masuoka
中科院分区：
文献类型：
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作者：
A. Masuoka
在特征≠2的任意域上，我们定义了Harish-Chandra对的概念，并证明了这些对的范畴与代数仿射超群方案的范畴是反等价的。将所得结果应用于(a)单连通、(b)单幂和(c)正特征线性约化的仿射超群方案的刻画。
Over an arbitrary field of characteristic ≠ 2, we define the notion of Harish-Chandra pairs, and prove that the category of those pairs is anti-equivalent to the category of algebraic affine supergroup schemes. The result is applied to characterize some classes of affine supergroup schemes such as those which are (a) simply connected, (b) unipotent or (c) linearly reductive in positive characteristic.