The E q(2) group via direct quantization of the Lie–Poisson structure and its Lie algebra

DOI10.1063/1.530582zbMath0806.17019OpenAlexW2139670363WikidataQ115330170 ScholiaQ115330170MaRDI QIDQ4300189

Pawel Maslanka

Publication date: 9 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530582

zbMATH Keywords

quantum groupPoisson structuretwo-dimensional quantum Euclidean group

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)

Related Items (5)

The quantum two-dimensional Poincaré group from quantum group contraction ⋮ Classical deformations, Poisson–Lie contractions, and quantization of dual Lie bialgebras ⋮ Poisson-Lie group structures on semidirect products ⋮ The induced representations of the κ-Poincaré group ⋮ The contraction of SUμ(2) and its differential structures to Eκ(2)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum \(E(2)\) group and its Pontryagin dual
• New quantum Poincaré algebra and \(\kappa\)-deformed field theory
• The three-dimensional Euclidean quantum group E(3)q and its R-matrix

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