Toroidal vertex algebras and their modules

被引：8

作者：

Li, Haisheng ^{[1
]}

Tan, Shaobin ^{[2
]}

Wang, Qing ^{[2
]}

机构：

[1] Rutgers State Univ, Dept Math Sci, Camden, NJ 08102 USA

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2012年 / 365卷

关键词：

Toroidal Lie algebra; Extended affine Lie algebra; Vertex algebra; Toroidal vertex algebra; OPERATOR-ALGEBRAS; AFFINE; CONSTRUCTION;

D O I：

10.1016/j.jalgebra.2012.04.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a theory of toroidal vertex algebras and their modules, and we give a conceptual construction of toroidal vertex algebras and their modules. As an application, we associate toroidal vertex algebras and their modules to toroidal Lie algebras. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：50 / 82

页数：33

共 28 条

[1] Covering algebras I. Extended affine Lie algebras [J].

Allison, B ;

Berman, S ;

Pianzola, A .

JOURNAL OF ALGEBRA, 2002, 250 (02) :485-516

[2]

Allison B.N., 2007, ARXIV07090975MATHRT

[3]

Allison B.N., 2010, ARXIV10022674MATHRA

[4]

Allison BN., 1997, MEM AM MATH SOC, V126, P605

[5] Realization of graded-simple algebras as loop algebras [J].

Allison, Bruce ;

Berman, Stephen ;

Faulkner, John ;

Pianzola, Arturo .

FORUM MATHEMATICUM, 2008, 20 (03) :395-432

[6]

[Anonymous], PROGR MATH

[7] Construction of extended affine Lie algebras by the twisting process [J].

Azam, S .

COMMUNICATIONS IN ALGEBRA, 2000, 28 (06) :2753-2781

[8]

Azam S., 2003, ARXIVMATHQA0309248

[9] Jacobi identity for vertex algebras in higher dimensions [J].

Bakalov, Bojko ;

Nikolov, Nikolay M. .

JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (05)

[10]

Berman S., 2002, Developments in Infinite-Dimensional LieAlgebras and Conformal Field Theory, Contemporary Mathematics, V297, P1

← 1 2 3 →