Two-parameter extensions of the κ-Poincaré quantum deformation
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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 (dimensionfull \frac{1}{\widetildeκ} 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 framework. In the second example quantum twist function depends on nonclassical generators, with κ-deformed coproduct. Finally we mention also the ``soft'' twists with carrier in fourmomenta sector.
LaTeX, 11pages. Version in print in Proceedings of the Conference "Non-Commutative Geometry and Representation Theory in Mathematical Physics", Karlstad, 5.07-9.07.2004, Proceedings Serie of Contemporary Mathematics(2005); Formula (2.5) corrected
LaTeX, 11pages. Version in print in Proceedings of the Conference "Non-Commutative Geometry and Representation Theory in Mathematical Physics", Karlstad, 5.07-9.07.2004, Proceedings Serie of Contemporary Mathematics(2005); Formula (2.5) corrected