Super-biderivations of Cartan type Lie superalgebras

被引:2
|
作者
Yuan, Jixia [1 ,2 ]
Chen, Liangyun [1 ]
Cao, Yan [3 ]
机构
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Heilongjiang Univ, Sch Math Sci, Harbin, Peoples R China
[3] Harbin Univ Sci & Technol, Dept Math, Harbin, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金; 黑龙江省自然科学基金;
关键词
Cartan type Lie superalgebras; Lie superalgebras; super-biderivations; super-derivations; LINEAR COMMUTING MAPS; ALGEBRAS;
D O I
10.1080/00927872.2021.1921185
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we characterize the super-biderivations of Cartan type Lie superalgebras over the complex field C. Furthermore, we prove that all super-biderivations of Cartan type simple Lie superalgebras are inner super-biderivations.
引用
收藏
页码:4416 / 4426
页数:11
相关论文
共 50 条
  • [21] Super-biderivations and super-commuting maps on the super Galilean conformal algebras
    Cheng, Xiao
    Sun, Jiancai
    Xia, Chunguang
    [J]. COMMUNICATIONS IN ALGEBRA, 2018, 46 (06) : 2648 - 2658
  • [22] On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type
    Fei Fei DUAN
    Bin SHU
    Yu Feng YAO
    [J]. Acta Mathematica Sinica,English Series, 2020, 36 (09) : 1061 - 1075
  • [23] Block Degeneracy for Graded Lie Superalgebras of Cartan Type
    Ou, Ke
    [J]. JOURNAL OF LIE THEORY, 2020, 30 (01) : 145 - 154
  • [24] On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type
    Fei Fei DUAN
    Bin SHU
    Yu Feng YAO
    [J]. Acta Mathematica Sinica, 2020, 36 (09) : 1061 - 1075
  • [25] On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type
    Duan, Fei Fei
    Shu, Bin
    Yao, Yu Feng
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 36 (09) : 1061 - 1075
  • [26] On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type
    Fei Fei Duan
    Bin Shu
    Yu Feng Yao
    [J]. Acta Mathematica Sinica, English Series, 2020, 36 : 1061 - 1075
  • [27] Biderivations of Hom-Lie Algebras and Superalgebras
    La Mei YUAN
    Jia Xin LI
    [J]. Acta Mathematica Sinica,English Series, 2024, (10) : 2337 - 2358
  • [28] Biderivations of Hom-Lie Algebras and Superalgebras
    Yuan, La Mei
    Li, Jia Xin
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024,
  • [29] Superderivations for Modular Graded Lie Superalgebras of Cartan-type
    Bai, Wei
    Liu, Wende
    [J]. ALGEBRAS AND REPRESENTATION THEORY, 2014, 17 (01) : 69 - 86
  • [30] Automorphism groups of restricted Cartan-type Lie superalgebras
    Liu, Wende
    Zhang, Yongzheng
    [J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (10) : 3767 - 3784