, Volume 1, Issue 4, pp 757-786

A theory of tensor products for module categories for a vertex operator algebra, II

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Abstract

This is the second part in a series of papers presenting a theory of tensor products for module categories for a vertex operator algebra. In Part I, the notions ofP(z)- andQ(z)-tensor product of two modules for a vertex operator algebra were introduced and under a certain hypothesis, two constructions of aQ(z)-tensor product were given, using certain results stated without proof. In Part II, the proofs of those results are supplied.