73 citations · 638 across the 41 of their papers we have counts for
11 papers · 1 filter
Contractions from to the M-theory superalgebra extended by additional fermionic generators
J. J. Fernandez, J. M. Izquierdo, M. A. del Olmo
We study here the generalized Weimar-Woods contractions of the superalgebra in order to obtain a suitable algebra that could describe the gauge group o…
Electric Chern-Simons term, enlarged exotic Galilei symmetry and noncommutative plane
Mariano A. del Olmo, Mikhail S. Plyushchay
The extended exotic planar model for a charged particle is constructed. It includes a Chern-Simons-like term for a dynamical electric field, but produces usual equations of motion…
Quantum Algebras and Quantum Physics
E. Celeghini, M. A. del Olmo
In Quantum Mechanics operators must be hermitian and, in a direct product space, symmetric. These properties are saved by Lie algebra operators but not by those of quantum algebras…
Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras
A. Ballesteros, N. A. Gromov, F. J. Herranz +2
Lie bialgebra contractions are introduced and classified. A non-degenerate coboundary bialgebra structure is implemented into all pseudo-orthogonal algebras starting from…
Non-standard quantum so(2,2) and beyond
A. Ballesteros, F. J. Herranz, M. A. del Olmo +1
A new "non-standard" quantization of the universal enveloping algebra of the split (natural) real form of is presented. Some (classical) graded contractions of $so(…
Quantum Algebras for Maximal Motion Groups of N-Dimensional Flat Spaces
A. Ballesteros, F. J. Herranz, M. A. del Olmo +1
An embedding method to get -deformations for the non--semisimple algebras generating the motion groups of --dimensional flat spaces is presented. This method gives a global a…
Poisson--Lie contractions and quantum (1+1) groups
A. Ballesteros, F. J. Herranz, M. A. del Olmo +1
A Poisson--Hopf algebra of smooth functions on the (1+1) Cayley--Klein groups is constructed by using a classical --matrix which is invariant under contraction. The quantization…
A universal non-quasitriangular quantization of the Heisenberg group
A. Ballesteros, Enrico Celeghini, F. J. Herranz +2
A universal R--matrix for the quantum Heisenberg algebra h(1)q is presented. Despite of the non--quasitriangularity of this Hopf algebra, the quantum group induced from it coincide…
Cayley-Klein Lie Algebras and their Quantum Universal Enveloping Algebras
A. Ballesteros, F. J. Herranz, M. A. del Olmo +1
The N-dimensional Cayley-Klein scheme allows the simultaneous description of geometries (symmetric orthogonal homogeneous spaces) by means of a set of Lie algebras depending…
Cayley-Klein Algebras as Graded Contractions of so(N+1)
F. J. Herranz, M. de Montigny, M. A. del Olmo +1
We study graded contractions of the real compact simple Lie algebra , and we identify within them the Cayley-Klein algebras as a naturally distingui…
4D Quantum Affine Algebras and Space--Time q-Symmetries
A. Ballesteros, F. J. Herranz, M. A. del Olmo +1
A global model of -deformation for the quasi--orthogonal Lie algebras generating the groups of motions of the four--dimensional affine Cayley--Klein geometries is obtained start…