A note on restricted representations of the Witt superalgebras

被引：0
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作者：
Yufeng Yao
Bin Shu
机构：
[1] Shanghai Maritime University,Department of Mathematics
[2] East China Normal University,Department of Mathematics
来源：
Chinese Annals of Mathematics, Series B | 2013年 / 34卷
关键词：
Restricted Lie superalgebra; Witt superalgebra; Restricted representation; Atypical weight; 17B10; 17B20; 17B50;
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摘要：
Let F be an algebraically closed field of prime characteristic p > 3, and W (n) the Witt superalgebra over F, which is the Lie superalgebra of superderivations of the Grassmann algebra in n indeterminates. The dimensions of simple atypical modules in the restricted supermodule category for W (n) are precisely calculated in this paper, and thereby the dimensions of all simple modules can be precisely given. Moreover, the restricted supermodule category for W (n) is proved to have one block.
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页码：921 / 926
页数：5
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