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 and Quantization of Generalized Loop Planar Galilean Conformal Algebra [J].
Yang, Yu ;
Wang, Xingtao .
AXIOMS, 2025, 14 (01)
[42]   LIE SUPER-BIALGEBRA STRUCTURES ON GENERALIZED SUPER-VIRASORO ALGEBRAS [J].
杨恒云 ;
苏育才 .
ActaMathematicaScientia, 2010, 30 (01) :225-239
[43]   LIE SUPER-BIALGEBRA STRUCTURES ON GENERALIZED SUPER-VIRASORO ALGEBRAS [J].
Yang Hengyun ;
Su Yucai .
ACTA MATHEMATICA SCIENTIA, 2010, 30 (01) :225-239
[44]   Lie Bialgebra Structures on the q-Analog Virasoro-Like Algebras [J].
Cheng, Yongsheng ;
Shi, Yiqian .
COMMUNICATIONS IN ALGEBRA, 2009, 37 (04) :1264-1274
[45]   Lie Bialgebra Structures on the Centerless W-Algebra W(2,2) [J].
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 [J].
Li, Jinlu ;
Sun, Jiancai ;
Xu, Hanhan .
COMMUNICATIONS IN ALGEBRA, 2023, 51 (09) :3632-3670
[47]   Quantization of the Lie Bialgebra of String Topology [J].
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 [J].
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 [J].
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 [J].
Guang Ai SONG ;
Yu Cai SU ;
Xiao Qing YUE .
ActaMathematicaSinica, 2019, 35 (10) :1696-1714