Generalized Heisenberg-Virasoro algebras

被引:15
|
作者
Liu, Dong [1 ]
Zhu, Linsheng [2 ]
机构
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
[2] Changshu Inst Technol, Dept Math, Changshu 215500, Peoples R China
基金
中国国家自然科学基金;
关键词
Generalized Heisenberg-Virasoro algebra; central extension; automorphism; LIE-ALGEBRAS; REPRESENTATIONS;
D O I
10.1007/s11464-009-0019-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we mainly study the generalized Heisenberg-Virasoro algebra. Some structural properties of the Lie algebra are obtained.
引用
收藏
页码:297 / 310
页数:14
相关论文
共 50 条
  • [21] On the Generalized Virasoro-like Algebras
    贾雨亭
    张知学
    NORTHEASTERN MATHEMATICAL JOURNAL, 1997, (01) : 85 - 90
  • [22] Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications
    Adamovic, Drazen
    Radobolja, Gordan
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (10) : 4322 - 4342
  • [23] Structures of Generalized Loop Schrödinger–Virasoro algebras
    Haibo Chen
    Guangzhe Fan
    Jianzhi Han
    Yucai Su
    Mediterranean Journal of Mathematics, 2018, 15
  • [24] Structures of Generalized Loop Schrodinger-Virasoro algebras
    Chen, Haibo
    Fan, Guangzhe
    Han, Jianzhi
    Su, Yucai
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
  • [25] Non-weight modules over the Heisenberg-Virasoro algebra and the W algebra W(2,2)
    Chen, Hongjia
    Guo, Xiangqian
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (05)
  • [26] Central Extensions and Derivations of Generalized Schrodinger-Virasoro Algebras
    Wang, Wei
    Li, Junbo
    Xin, Bin
    ALGEBRA COLLOQUIUM, 2012, 19 (04) : 735 - 744
  • [27] Structure and isomorphisms of quantum generalized Heisenberg algebras
    Lopes, Samuel A.
    Razavinia, Farrokh
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (10)
  • [28] Modular Virasoro vertex algebras and affine vertex algebras
    Jiao, Xiangyu
    Li, Haisheng
    Mu, Qiang
    JOURNAL OF ALGEBRA, 2019, 519 : 273 - 311
  • [29] CLASSIFICATION OF IRREDUCIBLE HARISH-CHANDRA MODULES OVER GENERALIZED VIRASORO ALGEBRAS
    Guo, Xiangqian
    Lu, Rencai
    Zhao, Kaiming
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2012, 55 : 697 - 709
  • [30] Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2,2) algebra
    Radobolja, Gordan
    JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (07)