Geodesic
BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 231-251

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DOI

In this paper, we mainly provide a categorical view on the braided structures appearing in the Hom-quantum groups. Let $\mathcal{C}$ be a monoidal category on which F is a bimonad, G is a bicomonad, and φ is a distributive law, we discuss the necessary and sufficient conditions for $\mathcal{C}^G_F(\varphi)$ , the category of mixed bimodules to be monoidal and braided. As applications, we discuss the Hom-type (co)quasitriangular structures, the Hom–Yetter–Drinfeld modules, and the Hom–Long dimodules. 
ZHANG, XIAOHUI; DONG, LIHONG. BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 231-251. doi: 10.1017/S0017089517000088
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     title = {BRAIDED {MIXED} {DATUMS} {AND} {THEIR} {APPLICATIONS} {ON} {HOM-QUANTUM} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {231--251},
     year = {2018},
     volume = {60},
     number = {1},
     doi = {10.1017/S0017089517000088},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000088/}
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