Super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras

被引:0
|
作者
Zhuo Zhang
Jixia Yuan
Xiaomin Tang
机构
[1] Heilongjiang University,School of Mathematical Sciences
来源
关键词
Lie superalgebra; super-Virasoro algebras; super-biderivation; inner super-biderivations; 17B05; 17B40; 17B65;
D O I
暂无
中图分类号
学科分类号
摘要
We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras. In particular, we prove that all super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras are inner.
引用
收藏
页码:1295 / 1306
页数:11
相关论文
共 50 条
  • [21] Super-biderivations and linear super-commuting maps on a super Virasoro type algebras
    Hassan, Omer
    Elbukhari, Abu Bakr
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025, 24 (04)
  • [22] Super-biderivations and linear super-commuting maps on the current Lie superalgebras
    Zhao, Xiaodong
    Ben Hassine, Abdelkader
    Chen, Liangyun
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (07) : 2801 - 2810
  • [23] Super-biderivations on the super Heisenberg-Virasoro algebra
    Li, Jinlu
    Sun, Jiancai
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (21): : 6500 - 6510
  • [24] Lie Super-bialgebra Structures on Generalized Ramond N=2 Super-Virasoro Algebras
    Yang, Hengyun
    Yao, Tingfu
    Yu, Yafeng
    ALGEBRA COLLOQUIUM, 2013, 20 (02) : 269 - 284
  • [25] Structures of generalized loop super-Virasoro algebras
    Dai, Xiansheng
    Han, Jianzhi
    Su, Yucai
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (07)
  • [26] Super-biderivations and Linear Super-commuting Maps on a Class of Cartan Type Lie Superalgebras
    Wang, Shujuan
    Tang, Xiaomin
    Zhao, Zewei
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2022, 46 (01) : 129 - 140
  • [27] A PRESENTATION FOR THE VIRASORO AND SUPER-VIRASORO ALGEBRAS
    FAIRLIE, DB
    NUYTS, J
    ZACHOS, CK
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 117 (04) : 595 - 614
  • [28] Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
    Su, YC
    Zhao, KM
    JOURNAL OF ALGEBRA, 2002, 252 (01) : 1 - 19
  • [29] Super-biderivations of the contact lie superalgebra
    Zhao, Xiaodong
    Chang, Yuan
    Zhou, Xin
    Chen, Liangyun
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (08) : 3237 - 3248
  • [30] FRACTIONAL SUPERSPACE FORMULATION OF GENERALIZED SUPER-VIRASORO ALGEBRAS
    DURAND, S
    MODERN PHYSICS LETTERS A, 1992, 7 (31) : 2905 - 2911