A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators
type: Item
instance of: scholarly article
title: A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators
zbMATH Open document ID: 0455.58016
DOI: 10.1007/BF01086570
author: A. G. Reyman
author: M. A. Semenov-Tian-Shansky
publication date: 1980-01-01T00:00:00Z
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 58J99
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 58D15
zbMATH DE Number: 3712869
zbMATH Keywords: Hamiltonian structures in a space of differential operators in a single variable
zbMATH Keywords: first-order matrix operators
zbMATH Keywords: coadjoint action
zbMATH Keywords: Poisson bracket
zbMATH Keywords: hierarchy of Hamiltonians
zbMATH Keywords: Lie group of smooth maps on the circle with values in a real semi-simple Lie group
MaRDI profile type: Publication
cites work: On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
cites work: A simple model of the integrable Hamiltonian equation
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3712869