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
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2005年 / 198卷 / 1-3期
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
  • [21] Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra
    申冉
    陈海波
    张建刚
    JournalofDonghuaUniversity(EnglishEdition), 2013, 30 (02) : 125 - 131
  • [22] Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra
    Liu, Dong
    Pei, Yufeng
    Zhu, Linsheng
    JOURNAL OF ALGEBRA, 2012, 359 : 35 - 48
  • [23] LIE BIALGEBRA STRUCTURES ON THE LIE ALGEBRA sI2(Cq[x, y])
    Xu, Ying
    Li, Junbo
    Wang, Wei
    COMMUNICATIONS IN ALGEBRA, 2013, 41 (12) : 4751 - 4763
  • [24] Lie Bialgebra Structures on Not-Finitely Graded Lie Algebras B(Γ) of Block Type
    Wang, Hao
    Xu, Ying
    Yue, Xiaoqing
    JOURNAL OF LIE THEORY, 2015, 25 (03) : 775 - 786
  • [25] Dual Lie Bialgebra Structures of Twisted Schrodinger-Virasoro Type
    Song, Guang'ai
    Yue, Xiaoqing
    ALGEBRA COLLOQUIUM, 2018, 25 (04) : 627 - 652
  • [26] New r-Matrices for Lie Bialgebra Structures over Polynomials
    Pop, Iulia
    Yermolova-Magnusson, Julia
    LETTERS IN MATHEMATICAL PHYSICS, 2010, 93 (02) : 141 - 156
  • [27] 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)
  • [28] Lie super-bialgebra structures on super-Virasoro algebra
    Hengyun Yang
    Frontiers of Mathematics in China, 2009, 4 : 365 - 379
  • [29] Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
    Albuquerque, H.
    Barreiro, E.
    Benayadi, S.
    Boucetta, M.
    Sanchez, J. M.
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 160
  • [30] Lie super-bialgebra structures on super-Virasoro algebra
    Yang, Hengyun
    FRONTIERS OF MATHEMATICS IN CHINA, 2009, 4 (02) : 365 - 379
12345