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Yetter–Drinfeld Modules for Group-Cograded Hopf Quasigroups

Author

Listed:
  • Huili Liu

    (College of Sciences, Nanjing Agricultural University, Nanjing 210095, China)

  • Tao Yang

    (College of Sciences, Nanjing Agricultural University, Nanjing 210095, China)

  • Lingli Zhu

    (College of Sciences, Nanjing Agricultural University, Nanjing 210095, China)

Abstract

Let H be a crossed group-cograded Hopf quasigroup. We first introduce the notion of p -Yetter–Drinfeld quasimodule over H . If the antipode of H is bijective, we show that the category Y D Q ( H ) of Yetter–Drinfeld quasimodules over H is a crossed category, and the subcategory Y D ( H ) of Yetter–Drinfeld modules is a braided crossed category.

Suggested Citation

  • Huili Liu & Tao Yang & Lingli Zhu, 2022. "Yetter–Drinfeld Modules for Group-Cograded Hopf Quasigroups," Mathematics, MDPI, vol. 10(9), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1388-:d:798582
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