Poisson groups and dressing transformations

DOI10.1007/BF01099196zbMath0673.35094MaRDI QIDQ1120754

Michaael A. Semenov-Tian-Shansky

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/67769

zbMATH Keywords

geometryPoisson-Lie groupsPoisson bracketsZakharov-Shabatdressing transformations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

The Krichever map, vector bundles over algebraic curves, and Heisenberg algebras

Cites Work

• The local structure of Poisson manifolds
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Loop groups and equations of KdV type

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