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
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2009年 / 4卷 / 02期
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
  • [41] Sugawara and Vertex Operator Constructions for Deformed Virasoro Algebras
    Daniel Arnaudon
    Jean Avan
    Luc Frappat
    Eric Ragoucy
    Junichi Shiraishi
    Annales Henri Poincaré, 2006, 7 : 1327 - 1349
  • [42] A class of vertex operator algebras generated by Virasoro vectors
    Iqbal, Rabia
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [43] Transposed Poisson structures on Virasoro-type algebras
    Kaygorodov, Ivan
    Khudoyberdiyev, Abror
    Shermatova, Zarina
    JOURNAL OF GEOMETRY AND PHYSICS, 2025, 207
  • [44] On Schrodinger-Virasoro type Lie conformal algebras
    Hong, Yanyong
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (07) : 2821 - 2836
  • [45] The groups of automorphisms of the Witt Wn and Virasoro Lie algebras
    Vladimir V. Bavula
    Czechoslovak Mathematical Journal, 2016, 66 : 1129 - 1141
  • [46] n-Point Virasoro algebras and their modules of densities
    Cox, Ben
    Guo, Xiangqian
    Lu, Rencai
    Zhao, Kaiming
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2014, 16 (03)
  • [47] N-point Virasoro Algebras Considered as Krichever-Novikov Type Algebras
    Schlichenmaier, Martin
    GEOMETRIC METHODS IN PHYSICS, 2016, : 295 - 308
  • [48] Associating quantum vertex algebras to deformed Heisenberg Lie algebras
    Li, Haisheng
    FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (04) : 707 - 730
  • [49] Heisenberg groups over composition algebras
    Knarr, Norbert
    Stroppel, Markus Johannes
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2016, 57 (03): : 667 - 677
  • [50] Solvable Leibniz Algebras with Heisenberg Nilradical
    Bosko-Dunbar, Lindsey
    Dunbar, Jonathan D.
    Hird, J. T.
    Stagg, Kristen
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (06) : 2272 - 2281
12345