21 citations · 43 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…