Twisted Quantum Deformations of Lorentz and Poincar\'{e} algebras

Understand

We 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]}.