Existence of triangular Lie bialgebra structures II

被引:3
|
作者
Feldvoss, J [1 ]
机构
[1] Univ S Alabama, Dept Math & Stat, Mobile, AL 36688 USA
关键词
D O I
10.1016/j.jpaa.2004.10.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We characterize finite-dimensional Lie algebras over an arbitrary field of characteristic zero which admit a non-trivial (quasi-) triangular Lie bialgebra structure. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:151 / 163
页数:13
相关论文
共 50 条
  • [41] Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras
    Haibo Chen
    Xiansheng Dai
    Hengyun Yang
    Frontiers of Mathematics in China, 2019, 14 : 239 - 260
  • [42] LIE SUPER-BIALGEBRA STRUCTURES ON GENERALIZED SUPER-VIRASORO ALGEBRAS
    杨恒云
    苏育才
    ActaMathematicaScientia, 2010, 30 (01) : 225 - 239
  • [43] LIE SUPER-BIALGEBRA STRUCTURES ON GENERALIZED SUPER-VIRASORO ALGEBRAS
    Yang Hengyun
    Su Yucai
    ACTA MATHEMATICA SCIENTIA, 2010, 30 (01) : 225 - 239
  • [44] Lie Bialgebra Structures on the q-Analog Virasoro-Like Algebras
    Cheng, Yongsheng
    Shi, Yiqian
    COMMUNICATIONS IN ALGEBRA, 2009, 37 (04) : 1264 - 1274
  • [45] Lie Bialgebra Structures on the Centerless W-Algebra W(2,2)
    Li, Junbo
    Su, Yucai
    Xin, Bin
    ALGEBRA COLLOQUIUM, 2010, 17 (02) : 181 - 190
  • [46] Lie super-bialgebra structures on the two dimensional supersymmetric Galilean conformal algebra
    Li, Jinlu
    Sun, Jiancai
    Xu, Hanhan
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (09) : 3632 - 3670
  • [47] Quantization of the Lie Bialgebra of String Topology
    Chen, Xiaojun
    Eshmatov, Farkhod
    Gan, Wee Liang
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 301 (01) : 37 - 53
  • [48] The double and dual of a quasitriangular Lie bialgebra
    Hodges, TJ
    Yakimov, M
    MATHEMATICAL RESEARCH LETTERS, 2001, 8 (1-2) : 91 - 105
  • [49] Lie super-bialgebra structures on a class of generalized super W-algebra
    Wang, Hao
    Fa, Huanxia
    Li, Junbo
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (05) : 2271 - 2279
  • [50] Dual Lie Bialgebra Structures of W-algebra W(2, 2) Type
    Guang Ai SONG
    Yu Cai SU
    Xiao Qing YUE
    Acta Mathematica Sinica, 2019, 35 (10) : 1696 - 1714