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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.

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References

  1. 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.

  2. 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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  1. Y. -Z. Huang

    Present address: Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, 19104, Philadelphia, PA, USA

    Y. -Z. Huang

  2. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    J. Lepowsky

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  1. Y. -Z. Huang
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  2. J. Lepowsky
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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

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  • DOI: https://doi.org/10.1007/BF01587909

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