Quantum structure of the motion groups of the two-dimensional Cayley-Klein geometries

DOI10.1088/0305-4470/26/21/019zbMath0808.51027OpenAlexW2054599315MaRDI QIDQ4317416

Mariano Santander, Francisco J. Herranz, Mariano A. del Olmo, Ángel Ballesteros

Publication date: 20 March 1995

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

Full work available at URL: https://doi.org/10.1088/0305-4470/26/21/019

zbMATH Keywords

commutation relationsquantum deformationgroups of motionstwo-dimensional Cayley-Klein geometriesquantum CK algebra

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Group structures and generalizations on infinite-dimensional manifolds (58B25) Classical or axiomatic geometry and physics (51P05) Orthogonal and unitary groups in metric geometry (51F25)

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