5 citations · 5 across the 1 of their papers we have counts for
7 papers
Quantum (anti)de Sitter algebras and generalizations of the kappa-Minkowski space
Angel Ballesteros, N. Rossano Bruno, Francisco J. Herranz
We present two different quantum deformations for the (anti)de Sitter algebras and groups. The former is a non-standard (triangular) deformation of SO(4,2) realized as the conforma…
A new Lie algebra expansion method: Galilei expansions to Poincare and Newton-Hooke
Francisco J. Herranz, Mariano Santander
We modify a Lie algebra expansion method recently introduced for the (2+1)-dimensional kinematical algebras so as to work for higher dimensions. This new improved and geometrical p…
The families of orthogonal, unitary and quaternionic unitary Cayley--Klein algebras and their central extensions
Francisco J. Herranz, Mariano Santander
The families of quasi-simple or Cayley--Klein algebras associated to antihermitian matrices over R, C and H are described in a unified framework. These three families include simpl…
Two-photon algebra deformations
Preeti Parashar, Angel Ballesteros, Francisco J. Herranz
In order to obtain a classification of all possible quantum deformations of the two-photon algebra , we introduce its corresponding general Lie bialgebra, which is a coboundar…
Integrable deformations of Hamiltonian systems and q-symmetries
Angel Ballesteros, Francisco J. Herranz
The complete integrability of the hyperbolic Gaudin Hamiltonian and other related integrable systems is shown to be easily derived by taking into account their sl(2,R) coalgebra sy…
On quantum algebra symmetries of discrete Schrödinger equations
Angel Ballesteros, Francisco J. Herranz, Javier Negro +1
Two non-standard quantum deformations of the (1+1) Schrödinger algebra are identified with the symmetry algebras of either a space or time uniform lattice discretization of the Sch…