Boson realization of nonlinear \(\text{SO}(3)\) algebra.

DOI10.1016/S0375-9601(99)00726-4zbMath1044.81591OpenAlexW2050108630MaRDI QIDQ1967053

Dong Ruan, Wei Ruan

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00726-4

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (4)

Raising and lowering operators for orbital angular momentum quantum numbers ⋮ Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization ⋮ Indecomposable representations of the nonlinear Lie algebras ⋮ Boson and differential realizations of polynomial angular momentum algebra

Cites Work

• Unnamed Item
• Quantum BRST charge for quadratically nonlinear Lie algebras
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On nonlinear angular momentum theories, their representations and associated Hopf structures
• On some nonlinear extensions of the angular momentum algebra

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