On global \(\text{SL}(2,\mathbb R)\) symmetries of differential operators

DOI10.1016/J.JFA.2005.03.013zbMath1128.58019OpenAlexW2002323071MaRDI QIDQ557032

Ronald J. Stanke, Mark R. Sepanski

Publication date: 23 June 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.03.013

zbMATH Keywords

\(\text{SL}(2,\mathbb R)\)Global Lie symmetries

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Invariance and symmetry properties for PDEs on manifolds (58J70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Global actions of Lie symmetries for the nonlinear heat equation ⋮ Fourier type transforms on Lie symmetry groups ⋮ New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes ⋮ Schrödinger-type equations and unitary highest weight representations of the metaplectic group ⋮ Globalization of the actions of the Lie symmetries of nonlinear wave equations with dissipation

Cites Work

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• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• The symmetry groups of linear partial differential equations and representation theory. I
• Symmetry groups of linear partial differential equations and representation theory: The Laplace and axially symmetric wave equation
• Unitary Representations of Reductive Lie Groups. (AM-118)

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