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Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation

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اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Massachusetts Institute of Technology. Department of Mathematics
    • بيانات النشر:
      Springer US
    • الموضوع:
      2022
    • Collection:
      DSpace@MIT (Massachusetts Institute of Technology)
    • نبذة مختصرة :
      Let H be a Hopf algebra that is ℤ $\mathbb Z$ -graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of H to be a Zhang twist of H. In particular, we introduce the notion of a twisting pair for H such that the Zhang twist of H by such a pair is a 2-cocycle twist. We use twisting pairs to describe twists of Manin’s universal quantum groups associated with quadratic algebras and provide twisting of solutions to the quantum Yang-Baxter equation via the Faddeev-Reshetikhin-Takhtajan construction.
    • File Description:
      application/pdf
    • Relation:
      https://doi.org/10.1007/s00031-022-09779-9; https://hdl.handle.net/1721.1/146745; Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini et al. 2022. "Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation."; PUBLISHER_CC
    • الدخول الالكتروني :
      https://hdl.handle.net/1721.1/146745
    • Rights:
      Creative Commons Attribution ; https://creativecommons.org/licenses/by/4.0/ ; The Author(s)
    • الرقم المعرف:
      edsbas.B348439D