The automorphism group of the vertex operator algebra VL+ for an even lattice L without roots
The automorphism group of the vertex operator algebra VL+ for an even lattice L without roots
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DOI：
10.1016/j.jalgebra.2004.05.018
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发表时间：
2003-11
影响因子：
0.9
通讯作者：
Hiroki Shimakura
中科院分区：
文献类型：
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作者：
Hiroki Shimakura
利用顶点算子代数VL+在不可约VL+-模同构类上的作用，研究了顶点算子代数VL+的自同构群。特别地，VL+的自同构群的形状是当L同构于一个没有根的偶幺模格，对于ADE型的不可约根格R和秩为16的Barnes-Wall格为2 R时确定的。
The automorphism group of the vertex operator algebra VL+is studied by using its action on isomorphism classes of irreducible VL+-modules. In particular, the shape of the automorphism group of VL+is determined when L is isomorphic to an even unimodular lattice without roots, 2R for an irreducible root lattice R of type ADE and the Barnes–Wall lattice of rank 16.