2026-06-24T02:51:26Zhttps://riubu.ubu.es/oai/request

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

00925njm 22002777a 4500 dc Ballesteros Castañeda, Ángel author Herranz Zorrilla, Francisco José author Musso, Fabio author Naranjo, Pedro author 2017-03 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. 0370-2693 http://hdl.handle.net/10259/4718 10.1016/j.physletb.2017.01.020 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