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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 3, Pages 368–387
(Mi tmf1310)
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This article is cited in 4 scientific papers (total in 4 papers)
Crossed modules, quantum braided groups and ribbon structures
Yu. N. Bespalov
Abstract:
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.
Citation:
Yu. N. Bespalov, “Crossed modules, quantum braided groups and ribbon structures”, TMF, 103:3 (1995), 368–387; Theoret. and Math. Phys., 103:3 (1995), 621–637
Linking options:
https://www.mathnet.ru/eng/tmf1310 https://www.mathnet.ru/eng/tmf/v103/i3/p368
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Abstract page: | 366 | Full-text PDF : | 150 | References: | 54 | First page: | 1 |
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