Indecomposable representations of the nonlinear Lie algebras

DOI10.1063/1.1288246zbMath0992.81031OpenAlexW1973502845MaRDI QIDQ2738286

Linhong Chen, Wei Ruan, Dong Ruan

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.1288246

zbMATH Keywords

Heisenberg algebraindecomposable representationsnonlinear Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (2)

Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization ⋮ Boson and differential realizations of polynomial angular momentum algebra

Cites Work

• Quantum BRST charge for quadratically nonlinear Lie algebras
• Boson realization of nonlinear \(\text{SO}(3)\) algebra.
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• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• Indecomposable representations of the Lorentz algebra in an angular momentum basis
• Matrix elements for indecomposable representations of complex su(2)
• New inhomogeneous boson realizations and inhomogeneous differential realizations of Lie algebras
• The Fock wave function as classified by the supergroup chain U(N/M)⊃OSp(N/M)⊃O(N)×Sp(M)
• Indecomposable representations of the Poincare algebra
• Dynamical symmetries in a spherical geometry. I
• Nonlinear Lie algebra and ladder operators for orbital angular momentum
• On nonlinear angular momentum theories, their representations and associated Hopf structures
• Deformations of massless Gupta–Bleuler triplets in 3+2 De Sitter space
• On some nonlinear extensions of the angular momentum algebra
• INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP

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