On realizations of `nonlinear' Lie algebras by differential operators
From MaRDI portal
Publication:4262513
DOI10.1088/0305-4470/32/15/008zbMath1053.81038arXivhep-th/9803253OpenAlexW3122104200MaRDI QIDQ4262513
Yves Brihaye, Nathalie Debergh, Jules Beckers
Publication date: 1 October 2000
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9803253
Lie algebras of vector fields and related (super) algebras (17B66) Quantum optics (81V80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) General theory for ordinary differential equations (34A99)
Related Items
Deformed quantum phase spaces, realizations, star products and twists, Symmetric ordering and Weyl realizations for quantum Minkowski spaces, Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization, The involutive system of higher-spin equations, Application of polynomial su(1, 1) algebra to Pöschl-Teller potentials, Boson and differential realizations of polynomial angular momentum algebra, Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I, Two-boson realizations of the polynomial angular momentum algebra and some applications, Two-photon entanglement in a two-mode supersymmetric model, Braided doubles and rational Cherednik algebras., Nonlinear Supersymmetry as a Hidden Symmetry, SINGLE BOSON AND INVERSION BOSON REALIZATIONS OF MULTI-PARAMETER NONLINEARLY DEFORMED ANGULAR MOMENTUM ALGEBRA
