Heisenberg doubles of quantized Poincaré algebras

DOI10.1007/s11232-011-0139-2zbMath1274.81147OpenAlexW1971279787WikidataQ117553761 ScholiaQ117553761MaRDI QIDQ376944

Andrzej Zdzisław Borowiec, Anna Pachoł

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-011-0139-2

zbMATH Keywords

Hopf algebraHeisenberg doublequantum deformationsmash productquantum Poincaré

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Special relativity (83A05) Deformation quantization, star products (53D55) Smash products of general Hopf actions (16S40)

Related Items (4)

Generalized quantum phase spaces for the \(\kappa\)-deformed extended Snyder model ⋮ Quantum twist-deformed \(D = 4\) phase spaces with spin sector and Hopf algebroid structures ⋮ Heisenberg superdouble for deformed Poincaré \(k\)-superalgebra and Poincaré-Lie \(k\)-supergroups ⋮ Heisenberg double of supersymmetric algebras for noncommutative quantum field theory

Cites Work

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• On the Drinfeld double and the Heisenberg double of a Hopf algebra
• Classical and quantum mechanics of free \(\kappa\)-relativistic systems
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• Twisting adjoint module algebras
• The classical basis for the κ-Poincaré Hopf algebra and doubly special relativity theories
• Crossed Products and Inner Actions of Hopf Algebras
• Covariant realization of quantum spaces as star products by Drinfeld twists
• Quantum Poincare group related to the kappa -Poincare algebra
• A gravity theory on noncommutative spaces
• Noncommutative geometry and gravity

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