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Generalized twistors of nonlocal vertex algebras

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Abstract

We introduce and study the concept of (weak) pseudotwistor for a nonlocal vertex algebra, as a generalization of the notion of twistor. We give the relations between pseudotwistors and twisting operators. Furthermore, we study the inverse of an invertible weak pseudotwistor and the composition of two weak pseudotwistors.

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References

  1. Bakalov B, Kac V G. Field algebras. Int Math Res Not, 2003, 3: 123–159

    Article  MathSciNet  MATH  Google Scholar 

  2. Borcherds R. Quantum vertex algebras. In: Taniguchi Conference on Mathematics Nara’98. Adv Stud Pure Math, 31. Tokyo: Math Soc Japan, 2001, 51–74

    Google Scholar 

  3. Cap A, Schichl H, Vanzura J. On twisted tensor products of algebras. Comm Algebra, 1995, 23: 4701–4735

    Article  MathSciNet  MATH  Google Scholar 

  4. Lepowsky J, Li H. Introduction to Vertex Operator Algebras and Their Representations. Boston: Birkhäuser, 2003

    MATH  Google Scholar 

  5. Li H. Axiomatic G1-vertex algebras. Commun Contemp Math, 2003, 5: 281–327

    Article  MathSciNet  MATH  Google Scholar 

  6. Li H, Sun J. Twisted tensor products of nonlocal vertex algebras. J Algebra, 2011, 345: 266–294

    Article  MathSciNet  MATH  Google Scholar 

  7. Li H, Sun J. Regular representations of Möbius quantum vertex algebras (in preparation)

  8. Panaite F, Oystaeyen F V. Twisted algebras, twisted bialgebras and Rota-Baxter type operators. ArXiv: 1502.05327v2

  9. Pena J, Panaite F, Oystaeyen F V. General twisting of algebras. Adv Math, 2007, 212: 315–337

    Article  MathSciNet  MATH  Google Scholar 

  10. Sun J. Iterated twisted tensor products of nonlocal vertex algebras. J Algebra, 2013, 381: 233–259

    Article  MathSciNet  MATH  Google Scholar 

  11. Sun J. L-R-twisted tensor products of nonlocal vertex algebras and their modules. Comm Algebra (to appear)

  12. Sun J. Twistors of nonlocal vertex algebras. Preprint

  13. Sun J, Yang H. Twisted tensor product modules for Möbius twisted tensor product nonlocal vertex algebras. Internat J Math, 2013, 24: 1350033

    Article  MathSciNet  MATH  Google Scholar 

  14. Van Daele A, Van Keer S. The Yang-Baxter and pentagon equation. Compos Math, 1994, 91: 201–221

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11201285, 11371238) and a grant of the First-class Discipline of Universities in Shanghai.

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Authors and Affiliations

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

    Jiancai Sun & Minjing Wang

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  1. Jiancai Sun
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  2. Minjing Wang
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Correspondence to Jiancai Sun.

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Sun, J., Wang, M. Generalized twistors of nonlocal vertex algebras. Front. Math. China 12, 733–748 (2017). https://doi.org/10.1007/s11464-016-0507-1

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  • DOI: https://doi.org/10.1007/s11464-016-0507-1

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