Lie comodules and the constructions of Lie bialgebras

被引:0
|
作者
LiangYun Zhang
机构
[1] Nanjing Agricultural University,College of Science
来源
关键词
Lie coalgebras; Lie comodules; Lie bialgebras; triangular Lie bialgebras; 16W30;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we first give a direct sum decomposition of Lie comodules, and then according to the Lie comodule theory, construct some (triangular) Lie bialgebras through Lie coalgebras.
引用
收藏
页码:1017 / 1026
页数:9
相关论文
共 50 条
  • [21] Generalized Lie bialgebras and Jacobi structures on Lie groups
    David Iglesias
    Juan C. Marrero
    Israel Journal of Mathematics, 2003, 133 : 285 - 320
  • [22] Lie bialgebras of a family of Lie algebras of Block type
    Junbo Li
    Yucai Su
    Bin Xin
    Chinese Annals of Mathematics, Series B, 2008, 29 : 487 - 500
  • [23] Lie bialgebras of a family of lie algebras of block type
    Li, Junbo
    Su, Yucai
    Xin, Bin
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2008, 29 (05) : 487 - 500
  • [24] Jordan bialgebras of symmetric elements and Lie bialgebras
    V. N. Zhelyabin
    Siberian Mathematical Journal, 1998, 39 : 261 - 276
  • [25] Jordan bialgebras of symmetric elements and Lie bialgebras
    Zhelyabin, VN
    SIBERIAN MATHEMATICAL JOURNAL, 1998, 39 (02) : 261 - 276
  • [26] LIE BIALGEBRAS ARISING FROM POISSON BIALGEBRAS
    Oh, Sei-Qwon
    Cho, Eun-Hee
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (04) : 705 - 718
  • [27] Quantization of Lie bialgebras and shuffle algebras of Lie algebras
    Enriques B.
    Selecta Mathematica, 2001, 7 (3) : 321 - 407
  • [28] On Lie 2-bialgebras
    Qiao Yu
    Zhao Jia
    CommunicationsinMathematicalResearch, 2018, 34 (01) : 54 - 64
  • [29] 3-LIE BIALGEBRAS
    白瑞蒲
    程宇
    李佳倩
    孟伟
    Acta Mathematica Scientia, 2014, 34 (02) : 513 - 522
  • [30] Braided-Lie bialgebras
    Majid, S
    PACIFIC JOURNAL OF MATHEMATICS, 2000, 192 (02) : 329 - 356