Lie Super-bialgebra Structures on the Super-BMS3 Algebra

被引：5

作者：

Cheng, Xiao ^{[1
]}

Sun, Jiancai ^{[2
]}

Yang, Hengyun ^{[3
]}

机构：

[1] Shanghai Environm Sci Sch, Div Math & Phys, Shanghai 200135, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[3] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2019年 / 26卷 / 03期

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

Lie super-bialgebra; Yang-Baxter equation; super-BMS3; algebra; WITT;

D O I：

10.1142/S1005386719000324

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Lie super-bialgebra structures on the super-BMS3 algebra are considered. It is proved that all such Lie super-bialgebras are triangular coboundary Lie super-bialgebras. The method we use is mainly based on the computation of derivations from the super-BMS3 to the tensor product of its adjoint module.

引用

页码：437 / 458

页数：22

共 15 条

[1]

Drinfeld V. G, 1986, P INT C MATH, V2

[2]

DRINFELD VG, 1983, DOKL AKAD NAUK SSSR+, V268, P285

[3] Lie Super-bialgebra Structures on the Centerless Twisted N=2 Super-conformal Algebra [J].

Fa, Huanxia ;

Li, Junbo ;

Xin, Bin .

ALGEBRA COLLOQUIUM, 2011, 18 (03) :361-372

[4] 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

[5]

Lin L. F., ARXIV08125003V1

[6] Lie superbialgebra structures on the N=2 superconformal Neveu-Schwarz algebra [J].

Liu, Dong ;

Chen, Liangyun ;

Zhu, Linsheng .

JOURNAL OF GEOMETRY AND PHYSICS, 2012, 62 (04) :826-831

[7] A CLASS OF INFINITE-DIMENSIONAL LIE BIALGEBRAS CONTAINING THE VIRASORO ALGEBRA [J].

MICHAELIS, W .

ADVANCES IN MATHEMATICS, 1994, 107 (02) :365-392

[8] Classification of the Lie bialgebra structures on the Witt and Virasoro algebras [J].

Ng, SH ;

Taft, EJ .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2000, 151 (01) :67-88

[9] THE STRUCTURE OF THE DUAL LIE CO-ALGEBRA OF THE WITT ALGEBRA [J].

NICHOLS, WD .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1990, 68 (03) :359-364

[10] Lie bialgebras of generalized Witt type [J].

Song Guang'ai ;

Su Yucai .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (04) :533-544

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