Vertex representations for the v+1-toroidal Lie algebra of type Bl

被引:14
作者
Jiang, CP [1 ]
Meng, DJ
机构
[1] Shanghai Jiao Tong Univ, Dept Appl Math, Shanghai 200030, Peoples R China
[2] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China
基金
中国国家自然科学基金; 美国国家科学基金会;
关键词
D O I
10.1006/jabr.2001.8822
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give vertex operator constructions for the toroidal Lie algebra of type B,(v 2: 1, l greater than or equal to 2). We prove that the subquotients of the modules are completely reducible, and give the irreducible decomposition. (C) 2001 Elsevier Science.
引用
收藏
页码:564 / 593
页数:30
相关论文
共 10 条
[1]  
Frenkel I., 1989, Vertex operator algebras and the Monster
[2]   BASIC REPRESENTATIONS OF AFFINE LIE-ALGEBRAS AND DUAL RESONANCE MODELS [J].
FRENKEL, IB ;
KAC, VG .
INVENTIONES MATHEMATICAE, 1980, 62 (01) :23-66
[3]   VERTEX OPERATORS FOR NON-SIMPLY-LACED ALGEBRAS [J].
GODDARD, P ;
NAHM, W ;
OLIVE, D ;
SCHWIMMER, A .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 107 (02) :179-212
[4]  
Kac V.G, 1990, INFINITE DIMENSIONAL, Vthird, DOI DOI 10.1017/CBO9780511626234
[5]  
MANDIA M, 1987, AM MATH SOC MEMORIS, V362
[6]  
MOODY R., 1990, GEOM DEDICATA, V35, P283
[7]  
RAO ES, 1995, PAC J MATH, V2, P511
[8]   VERTEX REPRESENTATIONS FOR N-TOROIDAL LIE-ALGEBRAS AND A GENERALIZATION OF THE VIRASORO ALGEBRA [J].
RAO, SE ;
MOODY, RV .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 159 (02) :239-264
[9]  
SHAOBIN T, 1999, COMMUN ALGEBRA, V8, P3593
[10]   VERTEX OPERATORS OF G2(1) AND B1(1) [J].
XU, YC ;
JIANG, CP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (14) :3105-3121