Models of nonlinear representations and examples of linearization techniques

DOI10.1063/1.525742zbMath0533.58031OpenAlexW2048144154MaRDI QIDQ3316258

Georges Pinczon, Jacques C. H. Simon

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525742

zbMATH Keywords

perturbationunitary representationdiscrete seriesnonlinear representationsformal representation

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Noncompact Lie groups of transformations (57S20)

Cites Work

• Non-linear representations of inhomogeneous groups
• Extensions of representations and cohomology
• On the 1-cohomology of Lie groups
• Non-linear equations and covariance
• Linearization of relativistic nonlinear wave equations