93 citations · 2.1k across the 117 of their papers we have counts for
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Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian
Angel Ballesteros Francisco J. Herranz, Fabio Musso, Orlando Ragnisco
A constructive procedure to obtain superintegrable deformations of the classical Smorodinsky-Winternitz Hamiltonian by using quantum deformations of its underlying Poisson sl(2) co…
Quantization of Drinfel'd doubles
A. Ballesteros, E. Celeghini, M. A. del Olmo
Hopf algebra quantizations of 4-dimensional and 6-dimensional real classical Drinfel'd doubles are studied by following a direct "analytic" approach. The full quantization is expli…
Quantum (anti)de Sitter algebras and generalizations of the kappa-Minkowski space
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
We present two different quantum deformations for the (anti)de Sitter algebras and groups. The former is a non-standard (triangular) deformation of SO(4,2) realized as the conforma…
On 3+1 anti-de Sitter and de Sitter Lie bialgebras with dimensionful deformation parameters
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
We analyze among all possible quantum deformations of the 3+1 (anti)de Sitter algebras, so(3,2) and so(4,1), which have two specific non-deformed or primitive commuting operators:…
Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
The -deformation of the (2+1)D anti-de Sitter, Poincaré and de Sitter groups is presented through a unified approach in which the curvature of the spacetime (or the cosmological…