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Infinite dimensional Lie algebras acting on chiral fields and the Riemann-Hilbert problem

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Publication:797059
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DOI10.2977/prims/1195182975zbMath0545.35076OpenAlexW2034349577MaRDI QIDQ797059

Kimio Ueno

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182975


zbMATH Keywords

Riemann-Hilbert probleminfinite dimensional Lie algebratransformation theoryErnst potentialchiral fieldreduction problem


Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) General relativity (83C99) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Riemann-Hilbert problems in context of PDEs (35Q15)


Related Items

On the Riemann-Hilbert transformations for a Galilean invariant system ⋮ Theory of infinite dimensional Lie groups and its applications ⋮ Infinite-dimensional Lie algebras acting on the solution space of various σ models ⋮ Dressing symmetries ⋮ Transformation theory for anti-self-dual equations ⋮ Integrated Lax formalism for principal chiral model



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