Multiparameter deformations of GL(N) and Jordan–Schwinger constructions
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Publication:3987393
DOI10.1063/1.529041zbMath0751.17016OpenAlexW2056931611MaRDI QIDQ3987393
Publication date: 28 June 1992
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529041
quantum algebraJordan-Schwinger constructionquantum oscillator constructiontwo parameter deformation of GL(2)
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81)
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Cites Work
- Multiparameter associative generalizations of canonical commutation relations and quantized planes
- Twisted second quantization
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Multiparametric quantum deformation of the general linear supergroup
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES
- Some aspects of quantum groups and supergroups
- A simple derivation of the quantum Clebsch–Gordan coefficients for SU(2)q
- Differential geometry of the quantum supergroupGL q (1/1)
- On the Representations of the Rotation Group
