Biderivations and Commutative Post-Lie Algebra Structure on Schrödinger–Virasoro Lie Algebras

被引:0
|
作者
Ying Li
Xiaomin Tang
机构
[1] DaQing Normal University,Mathematical Department of Teacher Education Institute
[2] Heilongjiang University,Department of Mathematics
来源
Bulletin of the Iranian Mathematical Society | 2019年 / 45卷
关键词
Biderivation; Skewsymmetric; Schrödinger–Virasoro Lie algebra; Post-Lie algebra; 17B05; 17B40; 17B65;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, the biderivations of Schrödinger–Virasoro Lie algebras are characterized. It is obtained a class of non-inner and non-skewsymmetric biderivations. As an application, the commutative post-Lie algebra structures on the Schrödinger–Virasoro Lie algebra are presented.
引用
收藏
页码:1743 / 1754
页数:11
相关论文
共 50 条
  • [21] Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras
    Burde, Dietrich
    Gubarev, Vsevolod
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (05) : 2280 - 2296
  • [22] Crossed morphisms, integration of post-Lie algebras and the post-Lie Magnus expansion
    Mencattini, Igor
    Quesney, Alexandre
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (08) : 3507 - 3533
  • [23] Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras
    Haibo Chen
    Xiansheng Dai
    Hengyun Yang
    Frontiers of Mathematics in China, 2019, 14 : 239 - 260
  • [24] Post-Lie Algebra Structures on the Lie Algebra gl(2, C)
    Sheng, Yuqiu
    Tang, Xiaomin
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [25] Post-Lie Algebra Structures on the Witt Algebra
    Tang, Xiaomin
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (06) : 3427 - 3451
  • [26] Post-Lie Algebra Structures on the Witt Algebra
    Xiaomin Tang
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 3427 - 3451
  • [27] The Schrödinger-Virasoro Lie Group and Algebra: Representation Theory and Cohomological Study
    Claude Roger
    Jérémie Unterberger
    Annales Henri Poincaré, 2006, 7 : 1477 - 1529
  • [28] THE MAGNUS EXPANSION AND POST-LIE ALGEBRAS
    Curry, Charles
    Ebrahimi-Fard, Kurusch
    Owren, Brynjulf
    MATHEMATICS OF COMPUTATION, 2020, 89 (326) : 2785 - 2799
  • [29] Post-Lie Algebras and Isospectral Flows
    Ebrahimi-Fard, Kurusch
    Lundervold, Alexander
    Mencattini, Igor
    Munthe-Kaas, Hans Z.
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2015, 11
  • [30] Affine actions on Lie groups and post-Lie algebra structures
    Burde, Dietrich
    Dekimpe, Karel
    Vercammen, Kim
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (05) : 1250 - 1263