Induced representations of quantum (1+1) Galilei algebras

DOI10.1063/1.533381zbMath0987.81040OpenAlexW2016718719MaRDI QIDQ2738085

Oscar Arratia, Mariano A. del Olmo

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533381

zbMATH Keywords

dual basesGalilei algebraHopf algebras with a nondegenerate pairingthree different quantum deformations

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)

Cites Work

• Left regular representation and contraction of \(\text{sl}_ q(2)\) to \(e_ q(2)\)
• The quantum Heisenberg group H(1)q
• The Stratonovich–Weyl correspondence for one-dimensional kinematical groups
• Heisenberg XXZ model and quantum Galilei group
• The induced representations of the κ-Poincaré group
• Non-standard quantum (1+1) Poincare group: a T-matrix approach
• Deformed and extended Galilei group Hopf algebras
• Quantum Heisenberg group and algebra: Contraction, left and right regular representations
• Projective representations ofk-Galilei group

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