56 citations · 304 across the 21 of their papers we have counts for
21 papers
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…
On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications
Ángel Ballesteros, Iván Gutiérrez-Sagredo, Pedro Naranjo
In a recent paper (J.R. Morris, Quant. Stud. Math. Found. 2 (2015) 359), an inhomogeneous compactification of the extra dimension of a five-dimensional Kaluza-Klein metric has been…
Towards (3+1) gravity through Drinfel'd doubles with cosmological constant
Angel Ballesteros, Francisco J. Herranz, Pedro Naranjo
We present the generalisation to (3+1) dimensions of a quantum deformation of the (2+1) (Anti)-de Sitter and Poincaré Lie algebras that is compatible with the conditions imposed by…
Exactly solvable deformations of the oscillator and Coulomb systems and their generalization
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +2
We present two maximally superintegrable Hamiltonian systems and that are defined, respectively, on an -dimensional spherically symmetric generalizatio…
Twisted (2+1) -AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
Ángel Ballesteros, Francisco J. Herranz, Catherine Meusburger +1
We construct the full quantum algebra, the corresponding Poisson-Lie structure and the associated quantum spacetime for a family of quantum deformations of the isometry algebras of…
A (2+1) non-commutative Drinfel'd double spacetime with cosmological constant
Angel Ballesteros, Francisco J. Herranz, Catherine Meusburger
We show that the Drinfel'd double associated to the standard quantum deformation is isomorphic to the (2+1)-dimensional AdS algebra with the initial deformation paramet…