Representations of a Class of Associative Algebras Related to the Quantum Torus

被引：1

作者：

叶从峰

机构：

[1] Dept of Math

[2] Xiamen Univ Xiamen

[3] Fujian

[4] P R

来源：

数学进展 | 2003年 / 03期

关键词：

of; as; in; that; Representations of a Class of Associative Algebras Related to the Quantum Torus; for; is;

D O I：

暂无

中图分类号：

O152.5 [李群];

学科分类号：

摘要：

<正> 1 Introduction The mitivation of this paper comes from the work of[5].We kmow that vertex algebratheory is one of the importans parts in the study of infinte dimensional Lie theory,while thelattice vertex algebras form one of the most important and fundamental classes of vertexalgebras.In they studied the representation theory for certain” half lattice”vertex algebra

引用

页码：368 / 370

页数：3

共 5 条

[1] Extended affine Lie algebras and their root systems..Allison B;Azam;S;Berman.S;Gao.Y;Pianzola;A;.Mem.Amer.Math.Soc.1997,
[2] Irreducible representations for toroidal Lie algebras
Berman, S
Billig, Y
[J]. JOURNAL OF ALGEBRA, 1999, 221 (01) : 188 - 231
[3] Quantum tori and the structure of elliptic quasi-simple Lie algebras
Berman, S
Gao, Y
Krylyuk, YS
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 135 (02) : 339 - 389
[4] VERTEX REPRESENTATIONS FOR N-TOROIDAL LIE-ALGEBRAS AND A GENERALIZATION OF THE VIRASORO ALGEBRA
RAO, SE
MOODY, RV
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 159 (02) : 239 - 264
[5] Toroidal Lie algebras and vertex representations.[J].Robert V. Moody;Senapathi Eswara Rao;Takeo Yokonuma.Geometriae Dedicata.1990, 1

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