Vertex representations of toroidal special linear Lie superalgebras

被引：0
作者：
Naihuan Jing
Chongbin Xu
机构：
[1] South China University of Technology,School of Mathematics
[2] North Carolina State University,Department of Mathematics
[3] Wenzhou University,College of Mathematics and Information Science
来源：
Chinese Annals of Mathematics, Series B | 2015年 / 36卷
关键词：
Toroidal Lie superalgebras; Vertex operators; Free fields; 17B60; 17B67; 17B69; 17A45; 81R10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the loop-algebraic presentation of 2-toroidal Lie superalgebras, a free field representation of toroidal Lie superalgebras of type A(m, n) is constructed using both vertex operators and bosonic fields.
引用
收藏
页码：427 / 436
页数：9
相关论文
共 38 条
[1]  
Bhargava S(2013)A family of representations of the Lie superalgebra J. Alg. 386 61-76
[2]  
Chen H(2013)Representation of toroidal general linear superalgebras Commun. Alg. 42 2476-2507
[3]  
Gao Y(1994)Vertex representations for N-toroidal Lie algebras and a generalization of the Virasoro algebra Commun. Math. Phys. 159 239-264
[4]  
Eswara Rao S(1985)Classical affine algebras Adv. Math. 56 117-172
[5]  
Eswara Rao S(2000)Vertex representations via finite groups and the MaKay correspondence Int. Math. Res. Notices 4 195-222
[6]  
Moody R V(2001)Central extensions of Lie superalgebras Commun. Math. Helv. 76 110-154
[7]  
Feingold A J(2001)Vertex representations for the J. Alg. 246 564-593
[8]  
Frenkel I B(2010) + 1-toroidal Lie algebra of type J. Alg. 324 183-194
[9]  
Frenkel I B(2005)Fermionic realization of toroidal Lie algebras of classical types Pacific J. Math. 219 285-302
[10]  
Jing N(2009)Bosonic realizations of higher level toroidal Lie algebras Proc. AMS 137 3609-3618
1234