93 citations · 2.1k across the 117 of their papers we have counts for
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Quantization of Drinfel'd doubles
A. Ballesteros, E. Celeghini, M. A. del Olmo
Hopf algebra quantizations of 4-dimensional and 6-dimensional real classical Drinfel'd doubles are studied by following a direct "analytic" approach. The full quantization is expli…
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…
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…
(1+1) Schrodinger Lie bialgebras and their Poisson-Lie groups
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
All Lie bialgebra structures for the (1+1)-dimensional centrally extended Schrodinger algebra are explicitly derived and proved to be of the coboundary type. Therefore, since all o…
Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems
Angel Ballesteros, Enrico Celeghini, Francisco J. Herranz
The Lie bialgebras of the (1+1) extended Galilei algebra are obtained and classified into four multiparametric families. Their quantum deformations are obtained, together with the…