Bulg. J. Phys. vol.35 no.s1 (2008), pp. 441-459

Twisted Quantum Deformations of Lorentz and Poincaré algebras

V.N. Tolstoy
Institute of Nuclear Physics, Moscow State University, 119 992 Moscow, Russia
Abstract. We discussed quantum deformations of D = 4 Lorentz and Poincaré algebras. In the case of Poincaré 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.

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