2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145274We discussed twisted quantum deformations of D=4 Lorentz and Poincare algebras. In the case of Poincare algebra it is shown that almost all classical r-matrices of S.Zakrzewski classification can be presented as a sum of subordinated r-matrices of Abelian and Jordanian types. Corresponding twists describing quantum deformations are obtained in explicit form. This work is an extended version of the paper \url{arXiv:0704.0081v1 [math.QA]}.18 pages. Invited talk at the VII International Workshop ''Lie Theory and its Applications in Physics'',18--24 June 2007, Varna, BulgariaQuantum AlgebraHigh Energy Physics - TheoryMathematical PhysicsRepresentation Theory81R50 (Primary), 17B37 (Secondary)text