Yetter–Drinfeld Modules for Group-Cograded Hopf Quasigroups

Huili Liu, Tao Yang and Lingli Zhu
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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

Mathematics, 2022, vol. 10, issue 9, 1-17

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.

Keywords: Hopf quasigroup; crossed group-cograded Hopf quasigroup; p-Yetter–Drinfeld quasimodule; braided crossed category (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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