71 citations · 152 across the 6 of their papers we have counts for
4 papers · 1 filter
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(…
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…
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…