93 citations · 2.1k across the 117 of their papers we have counts for
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Boson representations, non-standard quantum algebras and contractions
Angel Ballesteros, Francisco J. Herranz, Javier Negro
A Gelfan'd--Dyson mapping is used to generate a one-boson realization for the non-standard quantum deformation of which directly provides its infinite and finite dimensi…
Quantum Heisenberg--Weyl Algebras
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
All Lie bialgebra structures on the Heisenberg--Weyl algebra are classified and explicitly quantized. The complete list of quantum Heisenberg--Weyl algebras so obtain…
Universal -matrix for non-standard quantum
Angel Ballesteros, Francisco J. Herranz
A universal -matrix for the non-standard (Jordanian) quantum deformation of is presented. A family of solutions of the quantum Yang--Baxter equation is obtained from…
(2+1) null-plane quantum Poincaré group from a factorized universal -matrix
Angel Ballesteros, Francisco J. Herranz
The non-standard (Jordanian) quantum deformations of and (2+1) Poincaré algebras are constructed by starting from a quantum basis such that simple factorized e…
Lie bialgebra quantizations of the oscillator algebra and their universal --matrices
Angel Ballesteros, Francisco J. Herranz
All coboundary Lie bialgebras and their corresponding Poisson--Lie structures are constructed for the oscillator algebra generated by $\{å,\ap,\am,\bb\}$. Quantum oscillator algebr…