On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type

被引：0
|
作者：
Fei Fei Duan
Bin Shu
Yu Feng Yao
机构：
[1] Hebei Normal University,School of Mathematical Sciences
[2] East China Normal University,School of Mathematical Sciences
[3] Shanghai Maritime University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2020年 / 36卷
关键词：
Lie superalgebra of Cartan type; restricted representation; block; 17B10; 17B66; 17B70;
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摘要：
Let g be a restricted Lie superalgebra of Cartan type W(n), S(n)or H(n) over an algebraically closed field k of prime characteristic p > 3, in the sense of modular version of Kac’s definition in 1977. In this note, we show that the restricted representation category over g has only one block (reckoning parities in). This phenomenon is very different from the case of characteristic zero.
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页码：1061 / 1075
页数：14
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