Simple Modules for Modular Lie Superalgebras W(0 | n), S(0 | n), and K(n)

被引：0

作者：

Wei, Zhu ^{[1
]}

Zhang, Qingcheng ^{[1
]}

Zhang, Yongzheng ^{[1
]}

Wang, Chunyue ^{[2
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Jilin Teachers Inst Engn & Technol, Sch Appl Sci, Changchun 130052, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2015年 / 2015卷

关键词：

SIMPLE RESTRICTED MODULES; CARTAN TYPE; GRADED MODULES; ALGEBRAS; REPRESENTATIONS; CLASSIFICATION;

D O I：

10.1155/2015/250570

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper constructs a series of modules from modular Lie superalgebras W(0 vertical bar n), S(0 vertical bar n) and K(n) over a field of prime characteristic P not equal 2. Cartan subalgebras, maximal vectors of these modular Lie superalgebras, can be solved. With certain properties of the positive root vectors, we obtain that the sufficient conditions of these modules are irreducible L-modules, where L = W(0 vertical bar n), S(0 vertical bar n), and K(n).

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页数：8

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