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dc.contributor.author Lentner, S.
dc.contributor.author Ohrmann, T.
dc.date.accessioned 2019-02-18T18:47:57Z
dc.date.available 2019-02-18T18:47:57Z
dc.date.issued 2017
dc.identifier.citation Factorizable R-Matrices for Small Quantum Groups / S. Lentner, T. Ohrmann // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 19 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 17B37; 20G42; 81R50; 18D10
dc.identifier.other DOI:10.3842/SIGMA.2017.076
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/148764
dc.description.abstract Representations of small quantum groups uq(g) at a root of unity and their extensions provide interesting tensor categories, that appear in different areas of algebra and mathematical physics. There is an ansatz by Lusztig to endow these categories with the structure of a braided tensor category. In this article we determine all solutions to this ansatz that lead to a non-degenerate braiding. Particularly interesting are cases where the order of q has common divisors with root lengths. In this way we produce familiar and unfamiliar series of (non-semisimple) modular tensor categories. In the degenerate cases we determine the group of so-called transparent objects for further use. uk_UA
dc.description.sponsorship Both authors thank Christoph Schweigert for helpful discussions and support. They also thank the referees, who gave a relevant contribution to improve the article with their comments. The first author was supported by the DAAD P.R.I.M.E program funded by the German BMBF and the EU Marie Curie Actions as well as the Graduiertenkolleg RTG 1670 at the University of Hamburg. The second author was supported by the Collaborative Research Center SFB 676 at the University of Hamburg. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Factorizable R-Matrices for Small Quantum Groups uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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