dorsal/arxiv
View SchemaThe radical of a vertex operator algebra
| Authors | C. Dong, H. Li, G. Mason, P. Montague |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9608022 |
| URL | https://arxiv.org/abs/q-alg/9608022 |
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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"abstract": "The radical $J(V)$ of a vertex operator algebra $V$ is defined to be the\nsubspace of $V$ consisting of vectors $v$ such that the zero mode $o(v)=0$ on\n$V$ where $o(v)=v_{wt v-1}$ if $v$ is homogeneous. We establish various facts\nabout $o(v),$ including the determination of $J(V)$ which is shown to be\nessentially equal to $(L(0)+L(-1))V.$",
"arxiv_id": "q-alg/9608022",
"authors": [
"C. Dong",
"H. Li",
"G. Mason",
"P. Montague"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "The radical of a vertex operator algebra",
"url": "https://arxiv.org/abs/q-alg/9608022"
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