The radical of a vertex operator algebra

1996/08/26 by Dong, C., Li, H., Mason, G. +1 · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.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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• On the semi-infinite cohomology of graded-unitary vertex algebras

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