Verma type modules for toroidal Lie algebras

被引：7

作者：

Futorny, V ^{[1
]}

Kashuba, I

机构：

[1] Univ Sao Paulo, Dept Math, Sao Paulo, Brazil

[2] Univ Kaiserslautern, Dept Math, Kaiserslautern, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 1999年 / 27卷 / 08期

关键词：

D O I：

10.1080/00927879908826677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the structure of imaginary Verma modules induced from the "natural" Borel subalgebra of a toroidal Lie algebra. In particular, we establish a criterion of irreducibility for imaginary Verma modules and describe their submodules and irreducible quotients. We also describe the structure of Verma type modules in the case of sl(2)-toroidal Lie algebra over two variables.

引用

页码：3979 / 3991

页数：13

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