Geodesic
Crossed modules, quantum braided groups and ribbon structures
Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 3, pp. 368-387

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Previous results about crossed modules over a braided Hopf algebra are applied for to study of quantum groups in braided categories. Cross products for braided Hopf algebras and quantum braided groups are built. Criteria when a braided Hopf algebra or a quantum group is a cross product are obtained. A generalization of the Majid's trunsmutation procedure for quantum braided groups is considered. A ribbon structure on a quantum braided group and its compatibility with cross product and transmutation are studied. 
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     author = {Yu. N. Bespalov},
     title = {Crossed modules, quantum braided groups and ribbon structures},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {103},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_103_3_a2/}
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Yu. N. Bespalov. Crossed modules, quantum braided groups and ribbon structures. Teoretičeskaâ i matematičeskaâ fizika, Tome 103 (1995) no. 3, pp. 368-387. http://geodesic.mathdoc.fr/item/TMF_1995_103_3_a2/