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Module twistors for modules of nonlocal vertex algebras

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Abstract

We introduce the notion of module twistor for a module of a nonlocal vertex algebra. The aim of this paper is to use this concept to unify some deformed constructions of modules of nonlocal vertex algebras, such as twisted tensor products and iterated twisted tensor products of modules of nonlocal vertex algebras.

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References

  1. B. Bakalov and V. G. Kac, Field algebras, Int. Math. Res. Not., No.3 (2003), 123–159.

  2. A. Cap, H. Schichl and J. Vanzura, On twisted tensor products of algebras, Commun. Algebra 23 (1995), 4701–4735.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Lepowsky and H.-S. Li, Introduction to Vertex Operator Algebras and Their Representations, Progr. Math., Vol. 227, Birkhäuser, Boston, 2003.

    Google Scholar 

  4. H.-S. Li, Nonlocal vertex algebras generated by formal vertex operators, Selecta Mathematica (New Series) 11 (2005), 349–397.

    Article  MathSciNet  MATH  Google Scholar 

  5. H.-S. Li and J.-C. Sun, Twisted tensor products of nonlocal vertex algebras, J. Algebra 345 (2011), 266–294.

    Article  MathSciNet  MATH  Google Scholar 

  6. P. J. Martinez, J. L. Pena, F. Panaite and F. V. Oystaeyen, On iterated twisted tensor products of algebras, Int. J. Math. 19 (2008), 1053–1101.

    Article  MathSciNet  MATH  Google Scholar 

  7. J. Pena, F. Panaite and F. Oystaeyen, General twisting of algebras, Adv. Math. 212 (2007), 315–337.

    Article  MathSciNet  MATH  Google Scholar 

  8. J.-C. Sun, Iterated twisted tensor products of nonlocal vertex algebras, J. Algebra 381 (2013), 233–259.

    Article  MathSciNet  MATH  Google Scholar 

  9. J.-C. Sun, Twistors of nonlocal vertex algebras, preprint.

  10. J.-C. Sun and H.-Y. Yang, Twisted tensor product modules for Mobius twisted tensor product nonlocal vertex algebras, Int. J. Math. 24 (2013), 1350033 (32 pages). DOI: 10.1142/S0129167X1350033X..

    Article  MathSciNet  MATH  Google Scholar 

  11. A. Van Daele, S. Van Keer, The Yang-Baxter and Pentagon equation, Compositio Math. 91 (1994), 201–221.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Jiancai Sun

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  1. Jiancai Sun
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Correspondence to Jiancai Sun.

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Sun, J. Module twistors for modules of nonlocal vertex algebras. Isr. J. Math. 216, 247–272 (2016). https://doi.org/10.1007/s11856-016-1409-3

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  • DOI: https://doi.org/10.1007/s11856-016-1409-3

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