On the Killing form of Lie Algebras in Symmetric Ribbon Categories
| dc.contributor.author | Buchberger, I. | |
| dc.contributor.author | Fuchs, J. | |
| dc.date.accessioned | 2019-02-12T18:26:29Z | |
| dc.date.available | 2019-02-12T18:26:29Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form. The proper categorical setting for discussing these issues are symmetric ribbon categories. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is available at http://www.emis.de/journals/SIGMA/LieTheory2014.html. We are most grateful to the referees for their valuable comments on an earlier version of this note, and in particular for suggesting improvements of the proof of Proposition 3.12. We also thank Christoph Schweigert for discussions and Scott Morrison for bringing Example 2.20(iv) to our attention. JF is supported by VR under project no. 621-2013-4207. JF thanks the ErwinSchr¨odinger-Institute (ESI) for the hospitality during the programs “Modern Trends in TQFT” and “Topological Phases of Quantum Matter” while part of this work was pursued. | uk_UA |
| dc.identifier.citation | On the Killing form of Lie Algebras in Symmetric Ribbon Categories / I. Buchberger, J. Fuchs // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 53 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 17Bxx; 18D35; 18D10; 18E05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.017 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/147008 | |
| 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.status | published earlier | uk_UA |
| dc.title | On the Killing form of Lie Algebras in Symmetric Ribbon Categories | uk_UA |
| dc.type | Article | uk_UA |
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