Coordinates of the quantum plane as \(q\)-tensor operators in \({\mathcal U}_q({\mathfrak su}(2) * {\mathfrak su}(2))\)

DOI10.1007/BF00403254zbMath0929.17006MaRDI QIDQ1906263

L. C. Biedenharn, M. A. Lohe

Publication date: 27 January 2000

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

zbMATH Keywords

transformationscommutation relationsquantum planequantum universal enveloping algebra\(q\)-spinors\(q\)-tensor opertors

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) Yang-Mills and other gauge theories in quantum field theory (81T13) Geometry of quantum groups (58B32)

Cites Work

• On q-tensor operators for quantum groups
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• An extension of the Borel-Weil construction to the quantum group \(U_ q(n)\)
• Duality and quantum groups
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The pattern calculus for tensor operators in quantum groups
• Representations of quantum matrix algebra M q(2) and its q-boson realization
• Some remarks on the Gauss decomposition for quantum group GL_q(n) with application to q-bosonization
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