56 citations · 304 across the 21 of their papers we have counts for
6 papers · 1 filter
Poisson-Hopf limit of quantum algebras
A. Ballesteros, E. Celeghini, M. A. del Olmo
The Poisson-Hopf analogue of an arbitrary quantum algebra U_z(g) is constructed by introducing a one-parameter family of quantizations U_{z,h}(g) depending explicitly on h and by t…
Bases in Lie and Quantum Algebras
A. Ballesteros, E. Celeghini, M. A. del Olmo
Applications of algebras in physics are related to the connection of measurable observables to relevant elements of the algebras, usually the generators. However, in the determinat…
From Quantum Universal Enveloping Algebras to Quantum Algebras
E. Celeghini, A. Ballesteros, M. A. del Olmo
The ``local'' structure of a quantum group G_q is currently considered to be an infinite-dimensional object: the corresponding quantum universal enveloping algebra U_q(g), which is…
Solutions for the constant quantum Yang-Baxter equation from Lie (super)algebras
A. Tanasa, A. Ballesteros, F. J. Herranz
We present a systematic procedure to obtain singular solutions of the constant quantum Yang-Baxter equation in arbitrary dimension. This approach, inspired in the Lie (super)algebr…
Twist maps for non-standard quantum algebras and discrete Schrodinger symmetries
A. Ballesteros, F. J. Herranz, J. Negro +1
The minimal twist map introduced by B. Abdesselam, A. Chakrabarti, R. Chakrabarti and J. Segar (Mod. Phys. Lett. A 14 (1999) 765) for the non-standard (Jordanian) quantum sl(2,R) a…
Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric quantizations
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
Multiparametric quantum algebras are presented according to a classification based on their corresponding Lie bialgebra structures. From them, the non-relativistic limit le…