THE GENERALIZED WITT MODULAR LIE SUPERALGEBRA OF CARTAN TYPE

被引：1
|
作者：
Dong, Yan-Qin [1 ,2 ]
Zhang, Yong-Zheng [1 ]
Ebonzo, Angelo [3 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Aviat Univ AF, Changchun 130022, Jilin, Peoples R China
[3] Dalian Maritime Univ, Transportat Management Coll, Dalian 116026, Peoples R China
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 91卷 / 02期
基金：
美国国家科学基金会;
关键词：
modular Lie superalgebras; Z-graded Lie superalgebras; derivation superalgebras; ALGEBRAS;
D O I：
10.1017/S1446788711001558
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the generalized Witt modular Lie superalgebra (W) over tilde of Cartan type. We give a set of generators for (W) over tilde and show that (W) over tilde is an extension of a subalgebra of (W) over tilde by an ideal (J) over bar. Finally, we describe the homogeneous derivations of Z-degree of (W) over tilde and we determine the derivation superalgebra of (W) over tilde.
引用
收藏
页码：145 / 162
页数：18
相关论文
共 50 条
  • [1] The Cartan-type modular Lie superalgebra KO
    Fu, JY
    Zhang, QC
    Jiang, CP
    [J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (01) : 107 - 128
  • [2] Second Cohomology of the Modular Lie Superalgebra of Cartan Type K
    Xie, Wenjuan
    Zhang, Yongzheng
    [J]. ALGEBRA COLLOQUIUM, 2009, 16 (02) : 309 - 324
  • [3] Quantization of the Lie superalgebra of Witt type
    Su, Yucai
    Yue, Xiaoqing
    Zhu, Xiaoyu
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2021, 160
  • [4] Lie super-bialgebra structures on the Lie superalgebra of Witt type
    Yue, Xiaoqing
    Zhu, Xiaoyu
    [J]. COMMUNICATIONS IN ALGEBRA, 2020, 48 (11) : 4989 - 5003
  • [5] Primeness of the enveloping algebra of a Cartan type Lie superalgebra
    Wilson, MC
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (02) : 383 - 387
  • [6] The derivation algebra of the cartan-type Lie superalgebra HO
    Liu, WD
    Zhang, YZ
    Wang, XL
    [J]. JOURNAL OF ALGEBRA, 2004, 273 (01) : 176 - 205
  • [7] Lie bialgebras of generalized Witt type
    Song Guang'ai
    Su Yucai
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (04): : 533 - 544
  • [8] Lie bialgebras of generalized Witt type
    Guang’ai Song
    Yucai Su
    [J]. Science in China Series A, 2006, 49 : 533 - 544
  • [9] Lie bialgebras of generalized Witt type
    SONG Guang’ai & SU Yucai College of Mathematics and Information Science
    Department of Mathematics
    [J]. Science China Mathematics, 2006, (04) : 533 - 544
  • [10] On the modular Lie superalgebra Ω
    Xu, Xiaoning
    Chen, Liangyun
    Zhang, Yongzheng
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2011, 215 (05) : 1093 - 1101
12345