An R-matrix approach to the quantization of the Euclidean group E(2)

DOI10.1088/0305-4470/26/24/022zbMath0832.17017OpenAlexW2020913083MaRDI QIDQ4857039

Enrico Celeghini, Riccardo Giachetti, Emanuele Sorace, Ángel Ballesteros, Marco Tarlini

Publication date: 1 January 1996

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

Full work available at URL: https://doi.org/10.1088/0305-4470/26/24/022

zbMATH Keywords

dualityquantum groups\(R\)-matricestwo-dimensional representationtwo-dimensional Euclidean groupdeformed Hopf algebra

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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The two-dimensional Euclidean quantum algebra at roots of unity, Free \(q\)-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group, Classical deformations, Poisson–Lie contractions, and quantization of dual Lie bialgebras, The contraction of SUμ(2) and its differential structures to Eκ(2)