Dual Lie Bialgebra Structures of Twisted Schrodinger-Virasoro Type

被引：1
|
作者：
Song, Guang'ai [1 ]
Yue, Xiaoqing [2 ]
机构：
[1] Shandong Technol & Business Univ, Coll Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2018年 / 25卷 / 04期
关键词：
Schrodinger-Virasoro algebra; Virasoro algebra; Lie bialgebra; dual Lie bialgebra; GENERALIZED VIRASORO; ALGEBRAS; WITT; COALGEBRAS;
D O I：
10.1142/S1005386718000445
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the structures of dual Lie bialgebras of twisted Schrodinger-Virasoro type are investigated. By studying the maximal good subspaces, we determine the dual Lie coalgebras of the twisted Schrodinger-Virasoro algebras. Then based on this, we construct the dual Lie bialgebra structures of this type. As by-products, four new infinite dimensional Lie algebras are obtained.
引用
收藏
页码：627 / 652
页数：26
相关论文
共 50 条
  • [1] Schrodinger-Virasoro type Lie bialgebra: a twisted case
    Fa, Huanxia
    Li, Yanjie
    Li, Junbo
    FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (04) : 641 - 657
  • [2] Lie bialgebra structures on the Schrodinger-Virasoro Lie algebra
    Han, Jianzhi
    Li, Junbo
    Su, Yucai
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (08)
  • [3] Lie Bialgebra Structures on the Extended Schrodinger-Virasoro Lie Algebra
    Yuan, Lamei
    Wu, Yongping
    Xu, Ying
    ALGEBRA COLLOQUIUM, 2011, 18 (04) : 709 - 720
  • [4] Lie bialgebra structures on the deformative Schrodinger-Virasoro algebras
    Fa, Huanxia
    Li, Junbo
    Zheng, Yelong
    JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (11)
  • [5] Lie bialgebra structures on generalized loop Schrodinger-Virasoro algebras
    Chen, Haibo
    Dai, Xiansheng
    Yang, Hengyun
    FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (02) : 239 - 260
  • [6] Dual Lie bialgebra structures of the twisted Heisenberg-Virasoro type
    Song, Guang'ai
    Su, Yucai
    Yue, Xiaoqing
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (02)
  • [7] DERIVATIONS AND AUTOMORPHISMS OF TWISTED DEFORMATIVE SCHRODINGER-VIRASORO LIE ALGEBRAS
    Wang, Wei
    Li, Junbo
    Xu, Ying
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (09) : 3365 - 3388
  • [8] On Schrodinger-Virasoro type Lie conformal algebras
    Hong, Yanyong
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (07) : 2821 - 2836
  • [9] A class of Schrodinger-Virasoro type Lie conformal algebras
    Wang, Wei
    Xu, Ying
    Xia, Chunguang
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (08)
  • [10] Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra
    Liu, Dong
    Pei, Yufeng
    Zhu, Linsheng
    JOURNAL OF ALGEBRA, 2012, 359 : 35 - 48
12345