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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 Herranz Zorrilla, Francisco José Musso, Fabio Naranjo, Pedro 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. eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Attribution 4.0 International Anti-de Sitter Cosmological constant Quantum groups Poisson–Lie groups Lie bialgebras Quantum duality principle The κ-(A)dS quantum algebra in (3+1) dimensions info:eu-repo/semantics/article