Twisted Quantum Deformations of Lorentz and Poincaré algebras

Abstract

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]}.

arXiv comment18 pages. Invited talk at the VII International Workshop ''Lie Theory and its Applications in Physics'',18--24 June 2007, Varna, Bulgaria

References in corpus (5)

• Poisson structures on the Poincare group
• Chains of extended Jordanian twists for Lie superalgebras
• On quantization of r-matrices for Belavin-Drinfeld Triples
• Quantum Deformations of Relativistic Symmetries
• Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras

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