Deformations on the Twisted Heisenberg-Virasoro Algebra

被引：5
|
作者：
Liu, Dong [1 ]
Pei, Yufeng [2 ]
机构：
[1] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2019年 / 40卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cohomology; Deformation; Virasoro algebra; Heisenberg algebra; LIE BIALGEBRA STRUCTURES; HARISH-CHANDRA MODULES; TENSOR-DENSITIES; CLASSIFICATION; EXTENSIONS;
D O I：
10.1007/s11401-018-0121-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
With the cohomology results on the Virasoro algebra, the authors determine the second cohomology group on the twisted Heisenberg-Virasoro algebra, which gives all deformations on the twisted Heisenberg-Virasoro algebra.
引用
收藏
页码：111 / 116
页数：6
相关论文
共 50 条
  • [21] A class of simple weight modules over the twisted Heisenberg-Virasoro algebra
    Chen, Haibo
    Han, Jianzhi
    Su, Yucai
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (10)
  • [22] Representations of the twisted Heisenberg-Virasoro algebra and the full toroidal Lie algebras
    Jiang, Qifen
    Jiang, Cuipo
    ALGEBRA COLLOQUIUM, 2007, 14 (01) : 117 - 134
  • [23] Maps on the Mirror Heisenberg-Virasoro Algebra
    Guo, Xuelian
    Kaygorodov, Ivan
    Tang, Liming
    MATHEMATICS, 2024, 12 (06)
  • [24] Cohomology of the Heisenberg-Virasoro Conformal Algebra
    Yuan, Lamei
    Wu, Henan
    JOURNAL OF LIE THEORY, 2016, 26 (04) : 1187 - 1197
  • [25] Biderivations of the mirror Heisenberg-Virasoro algebra
    Liu, Hongjin
    Chen, Zhengxin
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [26] Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions
    Wu, Yemo
    Xu, Xiurong
    Zuo, Dafeng
    FRONTIERS OF MATHEMATICS IN CHINA, 2020, 15 (06) : 1231 - 1243
  • [27] Integrable systems, multicomponent twisted Heisenberg-Virasoro algebra and its central extensions
    Yemo Wu
    Xiurong Xu
    Dafeng Zuo
    Frontiers of Mathematics in China, 2020, 15 : 1231 - 1243
  • [28] Simple restricted modules for the Heisenberg-Virasoro algebra
    Gao, Dongfang
    JOURNAL OF ALGEBRA, 2021, 574 : 233 - 251
  • [29] New simple modules for the Heisenberg-Virasoro algebra
    Chen, Hongjia
    Guo, Xiangqian
    JOURNAL OF ALGEBRA, 2013, 390 : 77 - 86
  • [30] Quantization of the Rank Two Heisenberg-Virasoro Algebra
    Chen, Xue
    AXIOMS, 2024, 13 (07)
12345