Reflection equations and \(q\)-Minkowski space algebras

DOI10.1007/BF00750660zbMath0828.16047arXivhep-th/9309036OpenAlexW2089834690MaRDI QIDQ1338934

Francisco Rodenas, José A. de Azcárraga, Petr P. Kulish

Publication date: 18 December 1995

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9309036

zbMATH Keywords

relationsderivativesdifferentialsMinkowski algebrareflection equations\(q\)-deformed Minkowski space algebraquantum Lorentz group actions

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) General and philosophical questions in quantum theory (81P05) Deformations of associative rings (16S80)

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κ-DEFORMED POINCARÉ ALGEBRAS AND QUANTUM CLIFFORD–HOPF ALGEBRAS ⋮ Lie–Poisson deformation of the Poincaré algebra ⋮ Quantum geometry and quantization on \(U(u(2))\) background. Noncommutative Dirac monopole ⋮ Interrelations between quantum groups and reflection equation (braided) algebras ⋮ Braided Weyl algebras and differential calculus on \(U(u(2))\) ⋮ Relativistic and Newtonian κ -space–times ⋮ Lorentz transformations as Lie–Poisson symmetries ⋮ Quantum integrability and quantum groups: a special issue in memory of Petr P Kulish ⋮ Wave operators on quantum algebras via noncanonical quantization ⋮ Quantum deformations of \(D =4\) Lorentz algebra revisited: Twistings of \(q\) -deformation

Cites Work

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• Constant solutions of reflection equations and quantum groups