73 citations · 638 across the 41 of their papers we have counts for
7 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…
Quantization of Lie-Poisson structures by peripheric chains
Vladimir D. Lyakhovsky, Mariano A. del Olmo
The quantization properties of composite peripheric twists are studied. Peripheric chains of extended twists are constructed for U(sl(N)) in order to obtain composite twists with s…
Induced representations of quantum kinematical algebras
O. Arratia, M. A. del Olmo
We construct the induced representations of the null-plane quantum Poincaré and quantum kappa Galilei algebras in (1+1) dimensions. The induction procedure makes use of the concept…
Quantum Jordanian twist
Vladimir Lyakhovsky, Alexandr Mirolubov, Mariano del Olmo
The quantum deformation of the Jordanian twist F_qJ for the standard quantum Borel algebra U_q(B) is constructed. It gives the family U_qJ(B) of quantum algebras depending on param…
Chains of twists for classical Lie algebras
P. P. Kulish, V. D. Lyakhovsky, M. A. del Olmo
For chains of regular injections A_p -> A_(p-1) -> ... -> A_1 -> A_0 of Hopf algebras the sets of maximal extended Jordanian twists F_E are considered. We prove that under certain…
Extended and Reshetikhin Twists for sl(3)
Vladimir Lyakhovsky, Mariano A. del Olmo
The properties of the set {L} of extended jordanian twists for algebra sl(3) are studied. Starting from the simplest algebraic construction --- the peripheric Hopf algebra U_ P'(0,…
Peripheric Extended Twists
Vladimir Lyakhovsky, Mariano A. del Olmo
The properties of the set L of extended jordanian twists are studied. It is shown that the boundaries of L contain twists whose characteristics differ considerably from those of in…