Lie bialgebra structures on the Schrodinger-Virasoro Lie algebra

被引：36

作者：

Han, Jianzhi ^{[1
]}

Li, Junbo ^{[1
,2
]}

Su, Yucai ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China

[2] Changshu Inst Technol, Dept Math, Changshu 215500, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 08期

基金：

中国博士后科学基金;

关键词：

WITT; INVARIANCE;

D O I：

10.1063/1.3187784

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we shall investigate Lie bialgebra structures on the Schrodinger-Virasoro algebra L. We found out that not all Lie bialgebra structures on the Schrodinger-Virasoro algebra are triangular coboundary, which is different from the related known results of some other Lie algebras related to the Virasoro algebra. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3187784]

引用

页数：12

共 20 条

[1]

[Anonymous], 1987, PROC ICM

[2]

Drinfeld VG, 1983, SOV MATH DOKL, V28, P667

[3]

Etingof P., 1996, Sel. Math., V2, P1, DOI [10.1007/BF01587938, DOI 10.1007/BF01587938]

[4]

GAO S, ALG C IN PRESS

[5] SCHRODINGER INVARIANCE AND STRONGLY ANISOTROPIC CRITICAL SYSTEMS [J].

HENKEL, M .

JOURNAL OF STATISTICAL PHYSICS, 1994, 75 (5-6) :1023-1061

[6] Schrodinger invariance and spacetime symmetries [J].

Henkel, M ;

Unterberger, J .

NUCLEAR PHYSICS B, 2003, 660 (03) :407-435

[7]

LI J, ARXIV08012207

[8] Representations of the Schrodinger-Virasoro algebras [J].

Li, Junbo ;

Su, Yucai .

JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (05)

[9] 2-cocycles of original deformative Schrodinger-Virasoro algebras [J].

Li JunBo ;

Su YuCai ;

Zhu LinSheng .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (11) :1989-1999

[10] Lie bialgebras of a family of lie algebras of block type [J].

Li, Junbo ;

Su, Yucai ;

Xin, Bin .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2008, 29 (05) :487-500

← 1 2 →