Realization of the three-dimensional quantum Euclidean space by differential operators

DOI10.1007/S100520000472zbMath1049.81541arXivmath/0006179OpenAlexW3102705159MaRDI QIDQ1582982

Stefan Schraml, Julius Wess

Publication date: 18 October 2000

Published in: The European Physical Journal C. Particles and Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0006179

zbMATH Keywords

differential operators\(q\)-deformationlinear operatorsscalar productnoncommutative space\(q\)-lattice\(so_q(3)\)-module algebra\(so_q\)(3) module algebra3D quantum Euclidean spacealgebraical selfadjointnessdeformed angular momentumdense Hilbert space setdiscrete eigenvalue spectrumfactor-spaceselfadjoint coordinates

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) Geometry of quantum groups (58B32)

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