LIE SUPER-BIALGEBRA STRUCTURES ON GENERALIZED SUPER-VIRASORO ALGEBRAS

被引：0

作者：

Yang Hengyun ^{[1
,2
]}

Su Yucai ^{[3
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Shanghai Maritime Univ, Dept Math, Shanghai 200135, Peoples R China

[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 01期

关键词：

Lie super-bialgebras; Yang-Baxter equation; generalized super-Virasoro algebras; HARISH-CHANDRA MODULES; CLASSIFICATION; WITT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, Lie super-bialgebra structures on generalized super-Virasoro algebras L are considered. It is proved that all such Lie super-bialgebras are coboundary triangular Lie super-bialgebras if and only if H-1 (L, L circle times L) = 0.

引用

页码：225 / 239

页数：15

共 16 条

[1] SUPERSYMMETRIC STRINGS AND COLOR CONFINEMENT [J].

ADEMOLLO, M ;

BRINK, L ;

DADDA, A ;

DAURIA, R ;

NAPOLITANO, E ;

SCIUTO, S ;

DELGIUDICE, E ;

DIVECCHIA, P ;

FERRARA, S ;

GLIOZZI, F ;

MUSTO, R ;

PETTORINO, R .

PHYSICS LETTERS B, 1976, 62 (01) :105-110

[2]

[Anonymous], 1987, P INT C MATH

[3]

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

[4] Superconformal algebras and transitive group actions on quadrics [J].

Kac, VG .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 186 (01) :233-252

[5]

KAC VG, 1988, STRINGS, V88, P77

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

MICHAELIS, W .

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

[7] 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

[8] 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

[9] THE HIGHER RANK VIRASORO ALGEBRAS [J].

PATERA, J ;

ZASSENHAUS, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 136 (01) :1-14

[10] Classification of Harish-Chandra modules over the higher rank Virasoro algebras [J].

Su, YC .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 240 (03) :539-551

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