Twist deformations of κ-Poincaré algebra

Possible twist deformations of κ-Poincaré algebra are considered. In the list of solutions rκ + r to the MCYBE the additional terms r are restricted to those that do not change the Schouten bracket of rκ and have the carrier in the Euclidean subalgebra with time translation. For all such solutions the corresponding multiparametric twisting elements F are found in the explicit form, the (rκ + r)-matrices are thus quantized. Having the explicit expressions F we can construct the deformed *-products and study the possible deformations of space-time coordinate functions algebra.