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The radical of a vertex operator algebra. (English) Zbl 0946.17010

Ferrar, J. (ed.) et al., The Monster and Lie algebras. Proceedings of a special research quarter at the Ohio State University, Columbus, OH, USA, May 1996. Berlin: de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 7, 17-25 (1998).
The radical of a vertex operator algebra is defined as the subspace of elements whose vertex operator has zero weight-preserving component. The authors give some decomposition properties of the radical for a vertex operator algebra with the weights of nonnegative integers and the weight-0 subspace spanned by the vacuum vector.
For the entire collection see [Zbl 0897.00027].

MSC:

17B69 Vertex operators; vertex operator algebras and related structures
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