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LIE SUPER-BIALGEBRA STRUCTURES ON GENERALIZED SUPER-VIRASORO ALGEBRAS
被引:0
作者
:
Yang Hengyun
论文数:
0
引用数:
0
h-index:
0
机构:
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
Shanghai Maritime Univ, Dept Math, Shanghai 200135, Peoples R China
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
Yang Hengyun
[
1
,
2
]
Su Yucai
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
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
收藏
页码:225 / 239
页数:15
相关论文
共 16 条
[1]
SUPERSYMMETRIC STRINGS AND COLOR CONFINEMENT
ADEMOLLO, M
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
ADEMOLLO, M
BRINK, L
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
BRINK, L
DADDA, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
DADDA, A
DAURIA, R
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
DAURIA, R
NAPOLITANO, E
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
NAPOLITANO, E
SCIUTO, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
SCIUTO, S
DELGIUDICE, E
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
DELGIUDICE, E
DIVECCHIA, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
DIVECCHIA, P
FERRARA, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
FERRARA, S
GLIOZZI, F
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
GLIOZZI, F
MUSTO, R
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
MUSTO, R
PETTORINO, R
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
PETTORINO, R
[J].
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
Kac, VG
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, MIT, Cambridge
Kac, VG
[J].
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
MICHAELIS, W
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of New Orleans, New Orleans
MICHAELIS, W
[J].
ADVANCES IN MATHEMATICS,
1994,
107
(02)
: 365
-
392
[7]
Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
Ng, SH
论文数:
0
引用数:
0
h-index:
0
机构:
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Ng, SH
Taft, EJ
论文数:
0
引用数:
0
h-index:
0
机构:
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Taft, EJ
[J].
JOURNAL OF PURE AND APPLIED ALGEBRA,
2000,
151
(01)
: 67
-
88
[8]
THE STRUCTURE OF THE DUAL LIE CO-ALGEBRA OF THE WITT ALGEBRA
NICHOLS, WD
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Florida State University Tallahassee
NICHOLS, WD
[J].
JOURNAL OF PURE AND APPLIED ALGEBRA,
1990,
68
(03)
: 359
-
364
[9]
THE HIGHER RANK VIRASORO ALGEBRAS
PATERA, J
论文数:
0
引用数:
0
h-index:
0
机构:
OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
PATERA, J
ZASSENHAUS, H
论文数:
0
引用数:
0
h-index:
0
机构:
OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
ZASSENHAUS, H
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1991,
136
(01)
: 1
-
14
[10]
Classification of Harish-Chandra modules over the higher rank Virasoro algebras
Su, YC
论文数:
0
引用数:
0
h-index:
0
机构:
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
Su, YC
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
2003,
240
(03)
: 539
-
551
←
1
2
→
共 16 条
[1]
SUPERSYMMETRIC STRINGS AND COLOR CONFINEMENT
ADEMOLLO, M
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
ADEMOLLO, M
BRINK, L
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
BRINK, L
DADDA, A
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
DADDA, A
DAURIA, R
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
DAURIA, R
NAPOLITANO, E
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
NAPOLITANO, E
SCIUTO, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
SCIUTO, S
DELGIUDICE, E
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
DELGIUDICE, E
DIVECCHIA, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
DIVECCHIA, P
FERRARA, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
FERRARA, S
GLIOZZI, F
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
GLIOZZI, F
MUSTO, R
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
MUSTO, R
PETTORINO, R
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV FIRENZE,IST FIS TEORICA,FIRENZE,ITALY
PETTORINO, R
[J].
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
Kac, VG
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, MIT, Cambridge
Kac, VG
[J].
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
MICHAELIS, W
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of New Orleans, New Orleans
MICHAELIS, W
[J].
ADVANCES IN MATHEMATICS,
1994,
107
(02)
: 365
-
392
[7]
Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
Ng, SH
论文数:
0
引用数:
0
h-index:
0
机构:
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Ng, SH
Taft, EJ
论文数:
0
引用数:
0
h-index:
0
机构:
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
Taft, EJ
[J].
JOURNAL OF PURE AND APPLIED ALGEBRA,
2000,
151
(01)
: 67
-
88
[8]
THE STRUCTURE OF THE DUAL LIE CO-ALGEBRA OF THE WITT ALGEBRA
NICHOLS, WD
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Florida State University Tallahassee
NICHOLS, WD
[J].
JOURNAL OF PURE AND APPLIED ALGEBRA,
1990,
68
(03)
: 359
-
364
[9]
THE HIGHER RANK VIRASORO ALGEBRAS
PATERA, J
论文数:
0
引用数:
0
h-index:
0
机构:
OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
PATERA, J
ZASSENHAUS, H
论文数:
0
引用数:
0
h-index:
0
机构:
OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
ZASSENHAUS, H
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1991,
136
(01)
: 1
-
14
[10]
Classification of Harish-Chandra modules over the higher rank Virasoro algebras
Su, YC
论文数:
0
引用数:
0
h-index:
0
机构:
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
Su, YC
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
2003,
240
(03)
: 539
-
551
←
1
2
→