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).

引用

下载

页数：8

共 50 条

[1] ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE B(0, n)
Pojidaev, Alexandre P.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2003, 2 (03) : 335 - 349
[2] B(0, N)-graded Lie superalgebras coordinatized by quantum tori
Hongjia Chen
Yun Gao
Shikui Shang
Science in China Series A: Mathematics, 2006, 49 : 1740 - 1752
[3] On simple Filippov superalgebras of type B(0, n), II
Pojidaev, Alexander P.
Saraiva, Paulo
PORTUGALIAE MATHEMATICA, 2009, 66 (01) : 115 - 130
[4] B(0, N)-graded Lie superalgebras coordinatized by quantum tori
Chen Hongjia
Gao Yun
Shang Shikui
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (11): : 1740 - 1752
[5] Blocks of Lie superalgebras of type W(n)
Shomron, N
JOURNAL OF ALGEBRA, 2002, 251 (02) : 739 - 750
[6] Derivations of finite-dimensional modular Lie superalgebras K(n, m)
Mao, Dan
Zheng, Keli
ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (07): : 4266 - 4277
[7] A(n,n)-graded Lie superalgebras
Benkart, G
Elduque, A
Martínez, C
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2004, 573 : 139 - 156
[8] REPRESENTATIONS OF LIE-SUPERALGEBRAS .2. UNITARY REPRESENTATIONS OF LIE-SUPERALGEBRAS OF TYPE-A(N, 0)
FURUTSU, H
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1989, 29 (04): : 671 - 687
[9] Combined analysis of the ?n- K0S0 and ?n- K+ S - reactions
Wei, Neng-Chang
Wang, Ai-Chao
Huang, Fei
PHYSICAL REVIEW D, 2023, 107 (11)
[10] Lie n superderivations and generalized Lie n superderivations of superalgebras
Yuan, He
Chen, Liangyun
OPEN MATHEMATICS, 2018, 16 : 196 - 209

← 1 2 3 4 5 →