2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214641We study Lie algebra $κ$-deformed Euclidean space with undeformed rotation algebra $SO_a(n)$ and commuting vectorlike derivatives. Infinitely many realizations in terms of commuting coordinates are constructed and a corresponding star product is found for each of them. The $κ$-deformed noncommutative space of the Lie algebra type with undeformed Poincar{é} algebra and with the corresponding deformed coalgebra is constructed in a unified way.30 pages, Latex, accepted for publication in Eur.Phys.J.C, some typos correctedHigh Energy Physics - Theorytext