52 citations · 270 across the 29 of their papers we have counts for
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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…
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…