Quantum Deformations of Relativistic Symmetries

Details Quantum Deformations of Relativistic Symmetries Quantum Deformations of Relativistic Symmetries

2007-04-02

arxiv.org/abs/0704.0081v1

Mathematics

Quantum Algebra

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

Scientific paper

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.

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