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：
Science in China Series A: Mathematics | 2008年 / 51卷
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
  • [41] Extending Structures for Lie Bialgebras
    Hong, Yanyong
    JOURNAL OF LIE THEORY, 2023, 33 (03) : 783 - 798
  • [42] Quantization of inhomogeneous Lie bialgebras
    Kulish, PP
    Mudrov, AI
    JOURNAL OF GEOMETRY AND PHYSICS, 2002, 42 (1-2) : 64 - 77
  • [43] Quantization of Lie bialgebras, III
    Etingof P.
    Kazhdan D.
    Selecta Mathematica, 1998, 4 (2) : 233 - 269
  • [44] A triple construction for Lie bialgebras
    Grabowski, JE
    PACIFIC JOURNAL OF MATHEMATICS, 2005, 221 (02) : 281 - 301
  • [45] Quantization of Lie bialgebras, II
    Etingof P.
    Kazhdan D.
    Selecta Mathematica, 1998, 4 (2) : 213 - 231
  • [46] Lie 2-Bialgebras
    Bai, Chengming
    Sheng, Yunhe
    Zhu, Chenchang
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 320 (01) : 149 - 172
  • [47] Atiyah Classes of Lie Bialgebras
    Hong, Wei
    JOURNAL OF LIE THEORY, 2019, 29 (01) : 263 - 275
  • [48] Hamiltonian type Lie bialgebras
    Bin Xin
    Guang-ai Song
    Yu-cai Su
    Science in China Series A: Mathematics, 2007, 50 : 1267 - 1279
  • [49] LIE BIALGEBRAS MODULES AND COHOMOLOGY
    LECOMTE, PBA
    ROGER, C
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1990, 310 (06): : 405 - 410
  • [50] On quantization functors of Lie bialgebras
    Enriquez, B
    ACTA APPLICANDAE MATHEMATICAE, 2002, 73 (1-2) : 133 - 140
12345