The radical of a vertex operator algebra

C. Dong; H. Li; G. Mason; P. Montague

The radical of a vertex operator algebra

q-alg 2008-02-03 v1 Quantum Algebra

Authors: C. Dong , H. Li , G. Mason , P. Montague

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 $(L(0)+L(-1))V.$

Keywords

vertex operator algebras

Cite

@article{arxiv.q-alg/9608022,
  title  = {The radical of a vertex operator algebra},
  author = {C. Dong and H. Li and G. Mason and P. Montague},
  journal= {arXiv preprint arXiv:q-alg/9608022},
  year   = {2008}
}

Comments

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

The radical of a vertex operator algebra

Abstract

Keywords

Cite

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