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oai:riubu.ubu.es:10259/47182022-04-29T12:02:47Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558

Ballesteros Castañeda, Ángel 46 500 Herranz Zorrilla, Francisco José 280 500 Musso, Fabio 3a358e5d-eb6f-495f-ab24-f77a392f30fb 500 Naranjo, Pedro 388 500 2018-02-01T08:46:17Z 2018-02-01T08:46:17Z 2017-03 0370-2693 http://hdl.handle.net/10259/4718 10.1016/j.physletb.2017.01.020 The quantum duality principle is used to obtain explicitly the Poisson analogue of the κ-(A)dS quantum algebra in (3+1) dimensions as the corresponding Poisson–Lie structure on the dual solvable Lie group. The construction is fully performed in a kinematical basis and deformed Casimir functions are also explicitly obtained. The cosmological constant is included as a Poisson–Lie group contraction parameter, and the limit →0leads to the well-known κ-Poincaré algebra in the bicrossproduct basis. A twisted version with Drinfel’d double structure of this κ-(A)dS deformation is sketched. Ministerio de Economía y Competitividad (MINECO, Spain) under grant MTM2013-43820-P, and by Junta de Castilla y León (Spain) under grants BU278U14 and VA057U16 application/pdf eng Elsevier Physics Letters B. 2017, V. 766, p. 205-211 https://doi.org/10.1016/j.physletb.2017.01.020 info:eu-repo/grantAgreement/MINECO/MTM2013-43820-P info:eu-repo/grantAgreement/JCyL/BU278U14 info:eu-repo/grantAgreement/JCyL/VA057U16 Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Anti-de Sitter Cosmological constant Quantum groups Poisson–Lie groups Lie bialgebras Quantum duality principle Physics Física The κ-(A)dS quantum algebra in (3+1) dimensions info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion CC-LICENSE license_rdf license_rdf application/rdf+xml; charset=utf-8 908 https://riubu.ubu.es/bitstream/10259/4718/8/license_rdf 0175ea4a2d4caec4bbcc37e300941108 MD5 8 THUMBNAIL Ballesteros-PLB_2017.pdf.jpg Ballesteros-PLB_2017.pdf.jpg IM Thumbnail image/jpeg 4925 https://riubu.ubu.es/bitstream/10259/4718/7/Ballesteros-PLB_2017.pdf.jpg c812478f461ad897f05e6da7ad616759 MD5 7 ORIGINAL Ballesteros-PLB_2017.pdf Ballesteros-PLB_2017.pdf application/pdf 289833 https://riubu.ubu.es/bitstream/10259/4718/1/Ballesteros-PLB_2017.pdf de925e3387cf3159d082940e67cb53c3 MD5 1 LICENSE license.txt license.txt text/plain; charset=utf-8 998 https://riubu.ubu.es/bitstream/10259/4718/5/license.txt aa90105e1c90a1b4fe810649aa967b7d MD5 5 TEXT Ballesteros-PLB_2017.pdf.txt Ballesteros-PLB_2017.pdf.txt Extracted text text/plain 38733 https://riubu.ubu.es/bitstream/10259/4718/6/Ballesteros-PLB_2017.pdf.txt 4b11d5529a29d753f8d5b1e239cf42c7 MD5 6 10259/4718 oai:riubu.ubu.es:10259/4718 2022-04-29 14:02:47.306 Repositorio Institucional de la Universidad de Burgos bubrep@ubu.es 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