Whittaker modules for the twisted Heisenberg-Virasoro algebra

被引:38
|
作者
Liu, Dong [1 ]
Wu, Yuezhu [2 ]
Zhu, Linsheng [2 ]
机构
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
[2] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
关键词
IRREDUCIBLE REPRESENTATIONS;
D O I
10.1063/1.3301129
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We define Whittaker modules for the twisted Heisenberg-Virasoro algebra and obtain several results from the classical setting, including a classification of simple Whittaker modules by central characters. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3301129]
引用
收藏
页数:12
相关论文
共 50 条
  • [31] Irreducible Twisted Heisenberg-Virasoro Modules from Tensor Products
    Chen, Haibo
    Su, Yucai
    RESULTS IN MATHEMATICS, 2019, 74 (04)
  • [32] Classification of simple smooth modules over the Heisenberg-Virasoro algebra
    Tan, Haijun
    Yao, Yufeng
    Zhao, Kaiming
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2024,
  • [33] Tensor product weight modules for the mirror Heisenberg-Virasoro algebra
    Gao, Dongfang
    Zhao, Kaiming
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (05)
  • [34] WHITTAKER MODULES FOR THE VIRASORO ALGEBRA
    Ondrus, Matthew
    Wiesner, Emilie
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2009, 8 (03) : 363 - 377
  • [35] Representations of the twisted Heisenberg-Virasoro algebra and the full toroidal Lie algebras
    Jiang, Qifen
    Jiang, Cuipo
    ALGEBRA COLLOQUIUM, 2007, 14 (01) : 117 - 134
  • [36] Maps on the Mirror Heisenberg-Virasoro Algebra
    Guo, Xuelian
    Kaygorodov, Ivan
    Tang, Liming
    MATHEMATICS, 2024, 12 (06)
  • [37] Non-weight modules over the mirror Heisenberg-Virasoro algebra
    Dongfang Gao
    Yao Ma
    Kaiming Zhao
    Science China Mathematics, 2022, 65 : 2243 - 2254
  • [38] HARISH-CHANDRA MODULES OVER THE Q HEISENBERG-VIRASORO ALGEBRA
    Guo, Xiangqian
    Liu, Xuewen
    Zhao, Kaiming
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 89 (01) : 9 - 15
  • [39] Non-weight modules over the mirror Heisenberg-Virasoro algebra
    Gao, Dongfang
    Ma, Yao
    Zhao, Kaiming
    SCIENCE CHINA-MATHEMATICS, 2022, 65 (11) : 2243 - 2254
  • [40] Quantum Deformations of the Heisenberg-Virasoro Algebra
    Cheng, Yongsheng
    Su, Yucai
    ALGEBRA COLLOQUIUM, 2013, 20 (02) : 299 - 308