Simple Virasoro modules which are locally finite over a positive part

Simple Virasoro modules which are locally finite over a positive part
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简单 Virasoro 模块在正部分上局部有限

DOI:
10.1007/s00029-013-0140-8
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发表时间:
2012-05
期刊:
Selecta Math.
影响因子:
--
通讯作者:
V. Mazorchuk
V. Mazorchuk
中科院分区:
其他
文献类型:
--
作者:
赵开明;V. Mazorchuk

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我们提出了一个非常普遍的构造,简单的Virasoro模块概括,包括最高重量和Whittaker模块。这种结构使我们能够对所有在积极部分上有限的简单Virasoro模块进行分类。也
We propose a very general construction of simple Virasoro modules generalizing and including both highest weight and Whittaker modules. This construction enables us to classify all simple Virasoro modules that are locally finite over a positive part. To obtain those irreducible Virasoro modules, we use simple modules over a family of finite dimensional solvable Lie algebras. For one of these algebras, all simple modules are classified by R. Block and we extend this classification to the next member of the family. As a result, we recover many known but also construct a lot of new simple Virasoro modules. We also propose a revision of the setup for study of Whittaker modules.
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