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The radical of a vertex operator algebra

C. Dong·H. Li·G. Mason·P. Montague
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Abstract

The radical $J(V)$ of a vertex operator algebra $V$ is defined to be the subspace of $V$ consisting of vectors $v$ such that the zero mode $o(v)=0$ on $V$ where $o(v)=v_{wt v-1}$ if $v$ is homogeneous. We establish various facts about $o(v),$ including the determination of $J(V)$ which is shown to be essentially equal to $(L(0)+L(-1))V.$

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C. Dong, H. Li, G. Mason, P. Montague. 1996-08-26. The radical of a vertex operator algebra. https://arxiv.org/abs/q-alg/9608022

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