RT info:eu-repo/semantics/article T1 The kappa-(A)dS quantum algebra in (3+1) dimensions A1 Ballesteros Castañeda, Ángel A1 Herranz, Francisco J. A1 Musso, Fabio A1 Naranjo, Pedro AB 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 Lambda is included as a Poisson–Lie group contraction parameter, and the limit Lambda→ 0 leads to the well-known κ-Poincar´e algebra in the bicrossproduct basis. A twisted version with Drinfel’d double structure of this κ-(A)dS deformation is sketched. YR 2017 FD 2017 LK http://uvadoc.uva.es/handle/10324/33636 UL http://uvadoc.uva.es/handle/10324/33636 LA eng NO Physics Letters B, vol. 766 (2017) 205 NO Producción Científica DS UVaDOC RD 24-nov-2024