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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