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
  • [41] Lie Bialgebras on the Rank Two Heisenberg-Virasoro Algebra
    Su, Yihong
    Chen, Xue
    [J]. MATHEMATICS, 2023, 11 (04)
  • [42] Verma modules over the generalized Heisenberg-Virasoro algebra
    Shen, Ran
    Jiang, Qifen
    Su, Yucai
    [J]. COMMUNICATIONS IN ALGEBRA, 2008, 36 (04) : 1464 - 1473
  • [43] Biderivations of q-deformed Heisenberg-Virasoro algebra
    Yuan, Lamei
    Li, Jiaxin
    [J]. COMMUNICATIONS IN ALGEBRA, 2022, 50 (09) : 3651 - 3663
  • [44] Verma modules for rank two Heisenberg-Virasoro algebra
    Zhiqiang Li
    Shaobin Tan
    [J]. Science China Mathematics, 2020, 63 (07) : 1259 - 1270
  • [45] Extensions of modules over the Heisenberg-Virasoro conformal algebra
    Ling, Kaijing
    Yuan, Lamei
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (05)
  • [46] Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra
    Melong, Fridolin
    Wulkenhaar, Raimar
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (07)
  • [47] Simple Heisenberg-Virasoro modules from Weyl algebra modules
    Li, Shujuan
    Zhu, Junyi
    Guo, Xiangqian
    [J]. JOURNAL OF ALGEBRA, 2024, 638 : 682 - 719
  • [48] Dual Lie bialgebra structures of the twisted Heisenberg-Virasoro type
    Song, Guang'ai
    Su, Yucai
    Yue, Xiaoqing
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (02)
  • [49] Irreducible Twisted Heisenberg-Virasoro Modules from Tensor Products
    Chen, Haibo
    Su, Yucai
    [J]. RESULTS IN MATHEMATICS, 2019, 74 (04)
  • [50] Tensor product weight modules for the mirror Heisenberg-Virasoro algebra
    Gao, Dongfang
    Zhao, Kaiming
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (05)
12345