Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra
Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra
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DOI：
10.1063/1.4813439
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发表时间：
2013-02
影响因子：
1.3
通讯作者：
G. Radobolja
中科院分区：
文献类型：
--
作者：
G. Radobolja
证明了W（2，2）上的Verma模可以存在次奇异向量，并给出了这些模的次商结构.证明了中间级数模与最高权模的张量积不可约的条件。讨论了与W（2，2）相关的顶点算子代数上的交织算子之间的关系。研究了扭Heisenberg-Virasoro代数上的中间级数与最高权模的张量积，给出了具有无穷维权空间的不可约模的级数.
We show that subsingular vectors may exist in Verma modules over W(2, 2), and present the subquotient structure of these modules. We prove conditions for irreducibility of the tensor product of intermediate series module with a highest weight module. Relation to intertwining operators over vertex operator algebra associated with W(2, 2) is discussed. Also, we study the tensor product of intermediate series and a highest weight module over the twisted Heisenberg-Virasoro algebra, and present series of irreducible modules with infinite-dimensional weight spaces.