Factorizable R-Matrices for Small Quantum Groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Factorizable R-Matrices for Small Quantum Groups
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| Creator |
Lentner, S.
Ohrmann, T. |
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| Description |
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.
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| Date |
2019-02-18T18:47:57Z
2019-02-18T18:47:57Z 2017 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 17B37; 20G42; 81R50; 18D10 DOI:10.3842/SIGMA.2017.076 http://dspace.nbuv.gov.ua/handle/123456789/148764 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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