73 citations · 638 across the 41 of their papers we have counts for
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Bicrossproduct structure of the null-plane quantum Poincare algebra
Oscar Arratia, Francisco J. Herranz, Mariano A. del Olmo
A nonlinear change of basis allows to show that the non-standard quantum deformation of the (3+1) Poincare algebra has a bicrossproduct structure. Quantum universal R-matrix, Pauli…
Contractions on the Classical Double
Angel Ballesteros, Mariano del Olmo
Lie algebra contractions on the classical Drinfel'd Double of a given Lie bialgebra are introduced and compared to the usual Lie bialgebra contraction theory. The connection betwee…
Null-plane Quantum Poincaré Algebras and their Universal -matrices
A. Ballesteros, F. J. Herranz, M. A. del Olmo +1
A non-standard quantum deformation of the Poincaré algebra is presented in a null-plane framework for 1+1, 2+1 and 3+1 dimensions. Their corresponding universal -matrices are ob…
Graded contractions and bicrossproduct structure of deformed inhomogeneous algebras
J. A. de Azcarraga, M. del Olmo, J. C. Perez Bueno +1
A family of deformed Hopf algebras corresponding to the classical maximal isometry algebras of zero-curvature N-dimensional spaces (the inhomogeneous algebras iso(p,q), p+q=N, as w…
A new class of deformed special functions from quantum homogeneous spaces
F. Bonechi, R. Giachetti, M. A. del Olmo +2
We study the most elementary aspects of harmonic analysis on a homogeneous space of a deformation of the two-dimensional Euclidean group, admitting generalizations to dimensions th…
A New Null-Plane Quantum Poincare Algebra
A. Ballesteros, F. J. Herranz, M. A. del Olmo +1
A new quantum deformation, which we call null-plane, of the (3+1) Poincaré algebra is obtained. The algebraic properties of the classical null-plane description are generalized to…
Universal --matrices for non-standard (1+1) quantum groups
A. Ballesteros, E. Celeghini, F. J. Herranz +2
A universal quasitriangular --matrix for the non-standard quantum (1+1) Poincaré algebra is deduced by imposing analyticity in the deformation parameter . A fam…
Non-standard quantum (1+1) Poincaré group: a --matrix approach
A. Ballesteros, F. J. Herranz, M. A. del Olmo +2
The Hopf algebra dual form for the non--standard uniparametric deformation of the (1+1) Poincaré algebra is deduced. In this framework, the quantum coordinates that gene…