The radical of a vertex operator algebra

Details The radical of a vertex operator algebra The radical of a vertex operator algebra

1996-08-26

arxiv.org/abs/q-alg/9608022v1

Mathematics

Quantum Algebra

tex 10 pages, to appear in : Proc. of the Conference on the Monster and Lie algebras at The Ohio State University, May 1996

Scientific paper

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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