Certain generating subspaces for vertex operator algebras

Details Certain generating subspaces for vertex operator algebras Certain generating subspaces for vertex operator algebras

1998-07-21

arxiv.org/abs/math/9807111v1

Mathematics

Quantum Algebra

25 pages, Latex 2.09

Scientific paper

We study minimal generating subspaces of "weak PBW type" for vertex operator algebras that satisfy a certain condition on the grading, and we develop a procedure for finding such subspaces. As applications, we derive some results on generalized modules and produce a minimal generating space of weak PBW type for the vertex operator algebra $V_L$ associated with any positive-definite even lattice $L$.

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