X iv : h ep - t h / 94 08 12 3 v 1 2 3 A ug 1 99 4 On Little Groups and Boosts of κ - deformed Poincaré Group

ar X iv : h ep - t h / 94 12 09 9 v 1 1 2 D ec 1 99 4 Poisson Poincaré groups

We present almost complete list of normal forms of classical r-matrices on the Poincaré group.

ar X iv : h ep - t h / 93 10 11 7 v 1 1 9 O ct 1 99 3 QUANTUM κ - POINCARE IN ANY DIMENSION

The κ-deformation of the D-dimensional Poincaré algebra (D ≥ 2) with any signature is given. Further the quadratic Poisson brackets, determined by the classical r-matrix are calculated, and the quantum Poincaré group " with noncommuting parameters " is obtained.

ar X iv : h ep - t h / 04 06 15 5 v 3 8 J un 2 00 5 Two - parameter extensions of the κ - Poincaré quantum deformation

We consider the extensions of classical r-matrix for κ-deformed Poincaré algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parameter (dimension-full 1 κ or dimensionless ξ) are presented. We describe the corresponding quantization (two-parameter κ-Poincaré quantum Hopf algebras) in explicite form as obtained by twisting of standard κ-deformed f...

ar X iv : h ep - t h / 94 08 04 1 v 1 7 A ug 1 99 4 June 1994 Current - like variables in massive and massless integrable models 1

ar X iv : h ep - t h / 04 06 15 5 v 2 9 D ec 2 00 4 Two - parameter extensions of the κ - Poincaré quantum deformation

We consider the extensions of classical r-matrix for κ-deformed Poincaré algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parameter (dimension-full 1 κ or dimensionless ξ) are presented. We describe the corresponding quantization (two-parameter κ-Poincaré quantum Hopf algebras) in explicite form as obtained by twisting of standard κ-deformed f...