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κ-Deformed Phase Space, Hopf Algebroid and Twisting
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Jurić, T. | |
| dc.contributor.author | Kovačević, D. | |
| dc.contributor.author | Meljanac, S. | |
| dc.date.accessioned | 2019-02-09T20:58:50Z | |
| dc.date.available | 2019-02-09T20:58:50Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | κ-Deformed Phase Space, Hopf Algebroid and Twisting / T. Jurić, D. Kovačević, S. Meljanac // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 65 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 81R60; 17B37; 81R50 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.106 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146538 | |
| dc.description.abstract | Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. We use the dual base to construct the target map and antipode. The notion of twist is analyzed for κ-deformed phase space in Hopf algebroid setting. It is outlined how the twist in the Hopf algebroid setting reproduces the full Hopf algebra structure of κ-Poincaré algebra. Several examples of realizations are worked out in details. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The full collection is available at http://www.emis.de/journals/SIGMA/space-time.html. The authors would like to thank A. Borowiec, J. Lukierski, A. Pachol, R. Strajn and Z. ˇ Skoda for ˇ useful discussions and comments. The authors would also like to thank the anonymous referee for useful comments and suggestions. | 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 | κ-Deformed Phase Space, Hopf Algebroid and Twisting | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
