κ-Deformed Phase Space, Hopf Algebroid and Twisting

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dc.contributor.authorJurić, T.
dc.contributor.authorKovačević, D.
dc.contributor.authorMeljanac, S.
dc.date.accessioned2019-02-09T20:58:50Z
dc.date.available2019-02-09T20:58:50Z
dc.date.issued2014
dc.description.abstractHopf 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.sponsorshipThis 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.identifier.citationκ-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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81R60; 17B37; 81R50
dc.identifier.otherDOI:10.3842/SIGMA.2014.106
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146538
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleκ-Deformed Phase Space, Hopf Algebroid and Twistinguk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік