93 citations · 2.1k across the 117 of their papers we have counts for
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Three dimensional quantum algebras: a Cartan-like point of view
A. Ballesteros, E. Celeghini, M. A. del Olmo
A perturbative quantization procedure for Lie bialgebras is introduced and used to classify all three dimensional complex quantum algebras compatible with a given coproduct. The ro…
Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions
Angel Ballesteros, Orlando Ragnisco
A general procedure to get the explicit solution of the equations of motion for N-body classical Hamiltonian systems equipped with coalgebra symmetry is introduced by defining a se…
A non-commutative Minkowskian spacetime from a quantum AdS algebra
Angel Ballesteros, N Rossano Bruno, Francisco J. Herranz
A quantum deformation of the conformal algebra of the Minkowskian spacetime in dimensions is identified with a deformation of the -dimensional AdS algebra. Both Mink…
A new Doubly Special Relativity theory from a quantum Weyl-Poincare algebra
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
A mass-like quantum Weyl-Poincare algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, a new relativistic theory with two…