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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 103, Number 3, Pages 368–387 (Mi tmf1310)  
This article is cited in 4 scientific papers (total in 4 papers)

Crossed modules, quantum braided groups and ribbon structures

Yu. N. Bespalov
Full-text PDF (1395 kB) Citations (4)
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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.
English version:
Theoretical and Mathematical Physics, 1995, Volume 103, Issue 3, Pages 621–637
DOI: https://doi.org/10.1007/BF02065863
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\by Yu.~N.~Bespalov
\paper Crossed modules, quantum braided groups and ribbon structures
\jour TMF
\yr 1995
\vol 103
\issue 3
\pages 368--387
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472306}
\zmath{https://zbmath.org/?q=an:0864.16032}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 103
\issue 3
\pages 621--637
\crossref{https://doi.org/10.1007/BF02065863}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TP54200003}
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  • https://www.mathnet.ru/eng/tmf/v103/i3/p368
    • This publication is cited in the following 4 articles:
    1. Semikhatov A.M., Tipunin I.Yu., “Representations of U?qs?(2|1) at even roots of unity”, J. Math. Phys., 57:2 (2016), 021707  crossref  mathscinet  zmath  isi  elib  scopus
    2. Haixing Zhu, “Relative Yetter-Drinfeld modules and comodules over braided groups”, Journal of Mathematical Physics, 56:4 (2015)  crossref
    3. A. M. Semikhatov, “Fusion in the entwined category of Yetter–Drinfeld modules of a rank-1 Nichols algebra”, Theoret. and Math. Phys., 173:1 (2012), 1329–1358  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    4. Semikhatov A.M., Tipunin I.Yu., “The Nichols Algebra of Screenings”, Commun. Contemp. Math., 14:4 (2012), 1250029  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:62
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