N-Derivations for Finitely Generated Graded Lie Algebras

被引：2
|
作者：
Lian, Haifeng [1 ]
Chen, Cui [2 ]
机构：
[1] Fujian Agr & Forestry Univ, Dept Math, Fuzhou 350002, Peoples R China
[2] Fujian Univ Technol, Dept Math & Phys, Fuzhou 350108, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2016年 / 23卷 / 02期
关键词：
derivation; Cartan subalgebra; Virasoro algebra; Kac-Moody algebra; TRIPLE DERIVATIONS; PARABOLIC SUBALGEBRAS;
D O I：
10.1142/S1005386716000225
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The N-derivation is a natural generalization of derivation and triple derivation. Let G be a finitely generated Lie algebra graded by a finite-dimensional Cartan subalgebra. In this paper, a sufficient condition for the Lie N-derivation algebra of G coinciding with the Lie derivation algebra of G is given. As applications, any N-derivation of the SchrodingerVirasoro algebra, generalized Witt algebra, Kac-Moody algebra or their Borel subalgebra is a derivation.
引用
收藏
页码：205 / 212
页数：8
相关论文
共 50 条
  • [41] Multiplicative generalized Lie n-derivations of unital rings with idempotents
    Ashraf, Mohammad
    Ansari, Mohammad Afajal
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (02)
  • [42] DERIVATIONS OF THE GRADED LIE-ALGEBRAS OF CARTAN TYPE
    CHIU, S
    CHINESE ANNALS OF MATHEMATICS SERIES B, 1992, 13 (02) : 196 - 204
  • [43] Generalized n-Derivations in Non-Archimedean Banach Algebras
    Hayati, Bahman
    Khodaei, Hamid
    THAI JOURNAL OF MATHEMATICS, 2022, 20 (01): : 195 - 202
  • [44] Formality properties of finitely generated groups and Lie algebras
    Suciu, Alexander I.
    Wang, He
    FORUM MATHEMATICUM, 2019, 31 (04) : 867 - 905
  • [45] n-Derivations and (n,m)-Derivations of Lattices
    Ceven, Yilmaz
    MATHEMATICS, 2018, 6 (12):
  • [46] Nearly n-homomorphisms and n-derivations in fuzzy ternary Banach algebras
    Hassani, Feysal
    Ebadian, Ali
    Gordji, Madjid Eshaghi
    Kenary, Hassan Azadi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [47] STRUCTURES OF NOT-FINITELY GRADED LIE ALGEBRAS RELATED TO GENERALIZED VIRASORO ALGEBRAS
    Chen, Qiufan
    Han, Jianzhi
    Su, Yucai
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (07) : 3033 - 3049
  • [48] Nearly n-homomorphisms and n-derivations in fuzzy ternary Banach algebras
    Feysal Hassani
    Ali Ebadian
    Madjid Eshaghi Gordji
    Hassan Azadi Kenary
    Journal of Inequalities and Applications, 2013
  • [49] Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras
    Gordji, Madjid Eshaghi
    Alizadeh, Badrkhan
    Lee, Young Whan
    Kim, Gwang Hui
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [50] Strongly graded vertex algebras generated by vertex Lie algebras
    Pei, Yufeng
    Yang, Jinwei
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2019, 21 (08)
12345