Quantization of generalized Virasoro-like algebras

被引：17
|
作者：
Song, Guang'ai [1 ]
Su, Yucai [2 ]
Wu, Yuezhu [3 ]
机构：
[1] Shandong Inst Business & Technol, Coll Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
[3] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 11-12期
基金：
美国国家科学基金会;
关键词：
quantization; Lie bialgebras; Drinfel'd twist; generalized Virasoro-like algebras;
D O I：
10.1016/j.laa.2008.01.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a recent paper by the authors, Lie bialgebras structures of generalized Virasoro-like type were considered. In this paper, the explicit formula of the quantization of generalized Virasoro-like algebras is presented. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：2888 / 2899
页数：12
相关论文
共 50 条
  • [1] On　the　Generalized　Virasoro-like　Algebras
    贾雨亭
    张知学
    [J]. Communications in Mathematical Research, 1997, (01) : 85 - 90
  • [2] Verma modules over Virasoro-like algebras
    Wang, Xian-Dong
    Zhao, Kaiming
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 80 : 179 - 191
  • [3] Lie Bialgebras of Generalized Virasoro-like Type
    Yue Zhu WU Department of Mathematics
    [J]. Acta Mathematica Sinica,English Series, 2006, 22 (06) : 1915 - 1922
  • [4] Lie bialgebras of generalized Virasoro-like type
    Wu, Yue Zhu
    Song, Guang Ai
    Su, Yu Cai
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (06) : 1915 - 1922
  • [5] Lie Bialgebra Structures on the q-Analog Virasoro-Like Algebras
    Cheng, Yongsheng
    Shi, Yiqian
    [J]. COMMUNICATIONS IN ALGEBRA, 2009, 37 (04) : 1264 - 1274
  • [6] Local properties of Virasoro-like algebra
    Tang, Xiaomin
    Xiao, Mingyue
    Wang, Peng
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2023, 186
  • [7] The Virasoro-Like Algebra of a Frobenius Manifold
    Liu, Si-Qi
    Yang, Di
    Zhang, Youjin
    Zhou, Jian
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (16) : 13524 - 13561
  • [8] Representations for the Nongraded Virasoro-Like Algebra
    Gao, Shoulan
    Jiang, Cuipo
    [J]. COMMUNICATIONS IN ALGEBRA, 2010, 38 (05) : 1808 - 1846
  • [9] Jet modules for the centerless Virasoro-like algebra
    Guo, Xiangqian
    Liu, Genqiang
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (01)
  • [10] Whittaker modules over Virasoro-like algebra
    Guo, Xiangqian
    Liu, Xuewen
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (09)
12345