Quantum deformations of nonsemisimple algebras: The example of D=4 inhomogeneous rotations

DOI10.1063/1.530526zbMath0811.17021OpenAlexW2025021409WikidataQ62579734 ScholiaQ62579734MaRDI QIDQ4314241

Henri Ruegg, Anatol Nowicki, Jerzy Lukierski

Publication date: 11 December 1994

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

Full work available at URL: https://doi.org/10.1063/1.530526

zbMATH Keywords

semi-direct productquantum deformationsPoincaré algebrareal quantum algebrasquantum inhomogeneous \(D=4\) rotation algebrareal time lattice

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)

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Cites Work

• Quantum Poincaré algebra with standard real structure
• \(q\)-deformed Poincaré algebra
• Quantum deformations of \(D=4\) Poincaré and Weyl algebra from \(q\)- deformed \(D=4\) conformal algebra
• New quantum Poincaré algebra and \(\kappa\)-deformed field theory
• The three-dimensional Euclidean quantum group E(3)q and its R-matrix
• Heisenberg XXZ model and quantum Galilei group
• Which deformations of the Poincare group?
• The antipode of and star operations in a Hopf algebra