Recent work showed that κ-deformations can describe the quantum deformation of several
relativistic models that have been proposed in the context of quantum gravity …

In this letter we derive a deformed Dirac equation under the k-Poincar e ́ quantum algebra. A
peculiar feature is that the square of the k-Dirac operator is related to the second Casimir …

We consider an algebraic ansatz for the class of nonlinear D= 4 Poincaré algebras and
show that it contains only the quantum κ-Poincar e ́ (real Hopf) algebras, obtained recently …

GENERALIZED WEYL SYSTEMS AND κ-MINKOWSKI SPACE Page 1 November 7, 2002 14:7
WSPC/146-MPLA 00871 Modern Physics Letters A, Vol. 17, No. 32 (2002) 2105–2126 c …

We describe the generalized κ-deformations of D= 4 relativistic symmetries with finite
masslike deformation parameter κ and an arbitrary direction in κ-deformed Minkowski space …

The recently introduced κ-Poincar e ́-Dirac equation is gauged to treat the κ-Dirac-Coulomb
problem. For the resulting equation, we prove that the perturbation to first order in the …

We present here the general solution describing generators of\kdef\poin algebra as the
functions of classical\poin algebra generators as well as the inverse formulae. Further we …

A representation theory of the quantized Poincaré (κ-Poincaré) algebra (QPA) is developed.
We show that the representations of this algebra are closely connected with the …

The classical r-matrix for the N= 1 super-Poincare algebra, given by Lukierski et al.(1993), is
used to describe the graded Poisson structure on the N= 1 Poincare supergroup. The …

The kappa-deformation of D= 4 Poincare algebra is extended to the N= 1 D= 4 Poincare
superalgebra. By the contraction of real Hopf superalgebra U q (OSp (1 mod 4))(q real) we …