New inhomogeneous boson realizations and inhomogeneous differential realizations of Lie algebras

DOI10.1063/1.528982zbMath0727.17003OpenAlexW1968715436MaRDI QIDQ3349066

Changpu Pu, Hong-Chen Fu

Publication date: 1990

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

Full work available at URL: https://semanticscholar.org/paper/d6be9924a9dff6eb1daa8d2036c552a76f5dca06

zbMATH Keywords

inhomogeneous differential realizationsquasi-exactly solvable problemsinhomogeneous boson realizations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

The q-boson realization of parametrized cyclic representations of quantum algebras at q p = 1 ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Indecomposable representations of the nonlinear Lie algebras

Cites Work

• Quasi-exactly-solvable problems and sl(2) algebra
• Indecomposable representations of the Lorentz algebra in an angular momentum basis
• Matrix elements for indecomposable representations of complex su(2)
• Indecomposable representations of the Poincare algebra
• Boson operator realizations of su(2) and su(1,1) and unitarization

This page was built for publication: New inhomogeneous boson realizations and inhomogeneous differential realizations of Lie algebras