Rationality of the vertex operator algebra VL+ for a positive definite even lattice L
Rationality of the vertex operator algebra VL+ for a positive definite even lattice L
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DOI：
10.1007/s00209-004-0709-1
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发表时间：
2003-11
影响因子：
0.8
通讯作者：
T. Abe
中科院分区：
文献类型：
--
作者：
T. Abe
与正定偶格相关的格顶点算子代数具有从l的−1等距提升而来的2阶自同构。自同构的不动点setVL+ ofvl自然是一个顶点算子代数。证明了任意一个≥0阶的弱vl +模是完全可约的。
The lattice vertex operator algebraVLassociated to a positive definite even latticeLhas an automorphism of order 2 lifted from −1-isometry ofL. The fixed point setVL+ ofVLfor the automorphism is naturally a vertex operator algebra. We prove that any ℤ≥0-graded weakVL+-module is completely reducible.