Stereographic variables for multidimensional quantum group covariant q-oscillators

DOI10.1063/1.1370953zbMath1016.81034OpenAlexW2038669341MaRDI QIDQ2774905

Metin Arik, Ali Serdar Arikan

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1370953

zbMATH Keywords

fractional linear transformation\(\text{SU}_q(2)\)\(d\)-dimensional casequantum sphere \(\text{SU}_q(2)/\text{U}(1)\)

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (1)

Quantum group covariance and the braided structure of deformed oscillators

Cites Work

• Twisted second quantization
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Compact matrix pseudogroups
• The classification of differential structures on quantum 2-spheres
• THE BRAIDED QUANTUM TWO-SPHERE
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• The quantum 2-sphere as a complex quantum manifold
• On the Contraction of Groups and Their Representations

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