Classification of the vertex operator algebras VL+ of class S4

Classification of the vertex operator algebras VL+ of class S4
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S4类顶点算子代数VL的分类

DOI:
10.1016/j.jalgebra.2016.01.035
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发表时间:
2016
期刊:
影响因子:
0.9
通讯作者:
H. Shimakura
H. Shimakura
中科院分区:
数学3区
文献类型:
--
作者:
T. Hashikawa;H. Shimakura

文献摘要

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In this paper, we prove that an even rootless lattice L is isomorphic to 2 A 1, 2 D 4, 2 E 8, or BW 16 if the lattice type vertex operator algebra V L+ is of class S 4. In addition, we prove that the vertex operator algebra V 2 D 4+ is of class S 5, and the vertex operator algebras V 2 A 1+, V 2 E 8+, and V BW 16+ are of class S 7.