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.
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References
I. B. Frenkel, Y.-Z. Huang and J. Lepowsky.On axiomatic approaches to vertex operator algebras and modules. preprint, 1989; Memoirs Amer. Math. Soc.104, 1993.
Y.-Z. Huang and J. Lepowsky.A theory of tensor products for module categories for a vertex operator algebra, I. Selecta Mathematica, New Series,1 (1995), 699–756.
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Huang, Y.Z., Lepowsky, J. A theory of tensor products for module categories for a vertex operator algebra, II. Selecta Mathematica, New Series 1, 757 (1995). https://doi.org/10.1007/BF01587909
DOI: https://doi.org/10.1007/BF01587909