On intertwining operators and finite automorphism groups of vertex operator algebras

On intertwining operators and finite automorphism groups of vertex operator algebras
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DOI:
10.1016/j.jalgebra.2005.01.044
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发表时间:
2005-01
期刊:
影响因子:
0.9
通讯作者:
K. Tanabe
K. Tanabe
中科院分区:
数学3区
文献类型:
--
作者:
K. Tanabe

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设V是简单顶点算子代数,G是有限自同构群。利用V的缠绕算子,给出了作为不可约V-模的子模的不可约VG-模的缠绕算子的构造,并作为应用确定了顶点算子代数的一些融合规则。
Let V be a simple vertex operator algebra and G a finite automorphism group. We give a construction of intertwining operators for irreducible VG-modules which occur as submodules of irreducible V-modules by using intertwining operators for V. We also determine some fusion rules for a vertex operator algebra as an application.