Systems of Toda type, inverse spectral problems, and representation theory
type: Item
instance of: scholarly article
title: Systems of Toda type, inverse spectral problems, and representation theory
zbMATH Open document ID: 0474.58009
DOI: 10.1007/BF01390312
published in: Inventiones Mathematicae
publication date: 1980-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/142727
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 3744173
zbMATH Keywords: Poisson bracket in the sense of Kirillov-Kostant
zbMATH Keywords: Hamiltonian vector fields
zbMATH Keywords: completely integrable systems of Toda type and their inverse spectral problems
zbMATH Keywords: smooth functions on the dual Lie algebra
author: William W. Symes
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: The solution to a generalized Toda lattice and representation theory
cites work: On the determination of a differential equation from its spectral function
cites work: Calculation of Gauss Quadrature Rules
cites work: The numerically stable reconstruction of a Jacobi matrix from spectral data
cites work: Three integrable Hamiltonian systems connected with isospectral deformations
cites work: UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
cites work: Integrals of nonlinear equations of evolution and solitary waves
cites work: Q5682517
cites work: The spectrum of difference operators and algebraic curves
cites work: Q4146925
cites work: On the Toda Lattice. II: Inverse-Scattering Solution
cites work: The spectrum of Jacobi matrices
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Hamiltonian group actions and integrable systems
OpenAlex ID: W4252828368
description: scientific article; zbMATH DE number 3744173