73 citations · 2.5k across the 138 of their papers we have counts for
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Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions
Angel Ballesteros, Giulia Gubitosi, Iván Gutiérrez-Sagredo +1
Curved momentum spaces associated to the -deformation of the (3+1) de Sitter and Anti-de Sitter algebras are constructed as orbits of suitable actions of the dual Poisson-Lie gr…
Poisson-Hopf algebra deformations of Lie-Hamilton systems
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
Hopf algebra deformations are merged with a class of Lie systems of Hamiltonian type, the so-called Lie-Hamilton systems, to devise a novel formalism: the Poisson-Hopf algebra defo…
Curved momentum spaces from quantum groups with cosmological constant
A. Ballesteros, G. Gubitosi, I. Gutierrez-Sagredo +1
We bring the concept that quantum symmetries describe theories with nontrivial momentum space properties one step further, looking at quantum symmetries of spacetime in presence of…
Quantum groups and noncommutative spacetimes with cosmological constant
A. Ballesteros, I. Gutiérrez-Sagredo, F. J. Herranz +2
Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck regime. In this contribution the construction of (anti-)d…
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability
Jose F. Cariñena, Francisco J. Herranz, Manuel F. Rañada
The Eisenhart geometric formalism, which transforms an Euclidean natural Hamiltonian into a geodesic Hamiltonian with one additional degree of freedom, is applie…