Quantum Deformations of Relativistic Symmetries

Abstract

We discussed 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 correspond to twisted deformations of Abelian and Jordanian types. A part of twists corresponding to the r-matrices of Zakrzewski classification are given in explicit form.

10 pages. Invited talk at the XXII Max Born Symposium "Quantum, Super and Twistors", September 27-29, 2006, Wroclaw (Poland), in honour of Jerzy Lukierski.

Cited by in corpus (3)

• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Twisted Quantum Deformations of Lorentz and Poincaré algebras
• New twisted quantum deformations of D=4 super-Poincare algebra