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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
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
go backInstitute 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.