Representations of the twisted Heisenberg-Virasoro algebra and the full toroidal Lie algebras

被引:19
作者
Jiang, Qifen [1 ]
Jiang, Cuipo [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
关键词
twisted Heisenberg-Virasoro algebra; irreducible module; toroidal Lie algebra;
D O I
10.1142/S1005386707000120
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An explicit construction of indecomposable modules for the twisted Heisenberg-Virasoro algebra and representations for the full toroidal Lie algebras are given.
引用
收藏
页码:117 / 134
页数:18
相关论文
共 18 条
[1]   MODULI SPACES OF CURVES AND REPRESENTATION-THEORY [J].
ARBARELLO, E ;
DECONCINI, C ;
KAC, VG ;
PROCESI, C .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 117 (01) :1-36
[2]   Irreducible representations for toroidal Lie algebras [J].
Berman, S ;
Billig, Y .
JOURNAL OF ALGEBRA, 1999, 221 (01) :188-231
[3]  
Berman S., 2002, RECENT DEV INFINITE, P1
[4]  
Bilig Y, 2003, CAN MATH BULL, V46, P529
[5]   Principal vertex operator representations for toroidal Lie algebras [J].
Billig, Y .
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (07) :3844-3864
[6]  
BILLIG Y, ENERGY MOMENTUM TENS
[7]   IRREDUCIBLE REPRESENTATIONS OF VIRASORO-TOROIDAL LIE-ALGEBRAS [J].
FABBRI, MA ;
MOODY, RV .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 159 (01) :1-13
[8]  
Frenkel I.B., 1985, LECT APPL MATH, V21, P325
[9]   BASIC REPRESENTATIONS OF AFFINE LIE-ALGEBRAS AND DUAL RESONANCE MODELS [J].
FRENKEL, IB ;
KAC, VG .
INVENTIONES MATHEMATICAE, 1980, 62 (01) :23-66
[10]   Integrable representations for generalized Virasoro-toroidal Lie algebras [J].
Jiang, C ;
Meng, DJ .
JOURNAL OF ALGEBRA, 2003, 270 (01) :307-334