93 citations · 2.1k across the 117 of their papers we have counts for
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Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry
Angel Ballesteros, Giulia Gubitosi, Francisco J. Herranz
We show that the Lorentzian Snyder models, together with their Galilei and Carroll limiting cases, can be rigorously constructed through the projective geometry description of Lore…
Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces
Angel Ballesteros, Ivan Gutierrez-Sagredo, Flavio Mercati
Quantum homogeneous spaces are noncommutative spaces with quantum group covariance. Their semiclassical counterparts are Poisson homogeneous spaces, which are quotient manifolds of…
Quantum groups, non-commutative Lorentzian spacetimes and curved momentum spaces
Ivan Gutierrez-Sagredo, Angel Ballesteros, Giulia Gubitosi +1
The essential features of a quantum group deformation of classical symmetries of General Relativity in the case with non-vanishing cosmological constant are presented. We fully…
The -(A)dS noncommutative spacetime
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The (3+1)-dimensional -(A)dS noncommutative spacetime is explicitly constructed by quantizing its semiclassical counterpart, which is the -(A)dS Poisson homogeneous space. Th…
Curvature as an integrable deformation
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
The generalization of (super)integrable Euclidean classical Hamiltonian systems to the two-dimensional sphere and the hyperbolic space by preserving their (super)integrability prop…
Noncommutative spaces of worldlines
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincaré group in (3+1) dimensions with respect to the stabilizer of a worldline. Whe…