Automorphisms of the KdV-subvariety

DOI10.1007/BF01199905zbMath0793.35091OpenAlexW2092216940MaRDI QIDQ1175033

Erhard Neher, Jacek Szmigielski, Josef F. Dorfmeister

Publication date: 25 June 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199905

zbMATH Keywords

groups of automorphismsGrassmanniantopological aspectsBanach-Lie groupsBanach structure

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Banach algebras of continuous functions, function algebras (46J10) Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Invariance and symmetry properties for PDEs on manifolds (58J70)

Cites Work

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• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Loop groups and equations of KdV type
• Unitary representations of some infinite dimensional groups
• Linear algebraic groups in infinite dimensions
• An algebraic approach to isoparametric hypersurfaces in spheres. II
• On Completely Continuous Hankel Matrices
• AUTOMORPHISMS OF BANACH MANIFOLDS ASSOCIATED WITH THE KP-EQUATION

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