Twisted Quantum Deformations of Lorentz and Poincaré algebras

2007/12/25 by V.N. Tolstoy, Tolstoy, V. N. · 2 citations
Mathematics · Physics and Astronomy · #17B37 (Secondary) #81R50 (Primary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0712.3962

openalex publication_date 2007/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \urlarXiv:0704.0081v1 [math.QA].

Citations

• Quantum Deformations of Relativistic Symmetries
• Chains of extended Jordanian twists for Lie superalgebras

Cited by

• Integrability for the spectrum of Jordanian AdS/CFT
• Covariant quantization of field theories on T-Minkowski noncommutative spacetimes

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