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Verma type modules for toroidal lie algebras

 

作者: Vyacheslay Futorny,   Iryna Kashuba,  

 

期刊: Communications in Algebra  (Taylor Available online 1999)
卷期: Volume 27, issue 8  

页码: 3979-3991

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826677

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

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 ofsl(2)-toroidal Lie algebra over two variables.

 

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