On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type

被引：0

作者：

Fei Fei DUAN ^{[1
]}

Bin SHU ^{[2
]}

Yu Feng YAO ^{[3
]}

机构：

[1] School of Mathematical Sciences, Hebei Normal University

[2] School of Mathematical Sciences, East China Normal University

[3] Department of Mathematics, Shanghai Maritime University

来源：

Acta Mathematica Sinica,English Series | 2020年 / 36卷 / 09期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O152.5 [李群];

学科分类号：

070104 ;

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.

引用

页码：1061 / 1075

页数：15

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