论文标题
通过订单$ 2 $的自动形态的固定点子代数的固定点子代数的固定点子代数
Representations of the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order $2$
论文作者
论文摘要
令$ v_ {l} $为与非分级的顶点代数，甚至是晶格$ l $，$θ$，$ -1 $ -1 $ -1的$ -1 $ sisementry $ -1 $ simementry $ -1 $ simement the $ l $的自动形态，以及$ v_ {l} {l}^{l}^{+} $ nucdoint Point Point subalgebera $ v_ $ v_ $} $ v的动作。我们表明，每个弱$ v_ {l}^{+} $ - 模块都是完全可还原的。
Let $V_{L}$ be the vertex algebra associated to a non-degenerate even lattice $L$, $θ$ the automorphism of $V_{L}$ induced from the $-1$-isometry of $L$, and $V_{L}^{+}$ the fixed point subalgebra of $V_{L}$ under the action of $θ$. We show that every weak $V_{L}^{+}$-module is completely reducible.
