A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra
type: Item
instance of: scholarly article
title: A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra
zbMATH Open document ID: 0715.58004
DOI: 10.1215/S0012-7094-90-06103-4
author: Anthony M. Bloch
author: T. S. Ratiu
author: H. Flaschka
published in: Duke Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: Some subsets of an isospectral manifold of Jacobi matrices are shown to be diffeomorphic to the interior of a polytope associated with the image of a certain momentum map.
reviewed by: Alexandru Dimca
Mathematics Subject Classification ID: 58C40
zbMATH DE Number: 4178148
zbMATH Keywords: isospectral manifold
zbMATH Keywords: Jacobi matrices
zbMATH Keywords: momentum map
MaRDI profile type: Publication
cites work: Convexity and Commuting Hamiltonians
cites work: Q4720334
cites work: A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map
cites work: Some aspherical manifolds
cites work: Ordinary Differential Equations and the Symmetric Eigenvalue Problem
cites work: Q3037999
cites work: Torus orbits in \(G/P\)
cites work: The Cohomology of an Isospectral Flow
cites work: Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows
cites work: Convexity properties of the moment mapping
cites work: Convexity properties of the moment mapping. II
cites work: Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
cites work: Introduction to Lie Algebras and Representation Theory
cites work: On convexity, the Weyl group and the Iwasawa decomposition
cites work: The solution to a generalized Toda lattice and representation theory
cites work: Poisson Lie groups, dressing transformations, and Bruhat decompositions
cites work: Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
cites work: The spectrum of Jacobi matrices
cites work: Q3874985
cites work: Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
cites work: Reduction of Hamiltonian systems, affine Lie algebra, and Lax equations. II
cites work: Systems of Toda type, inverse spectral problems, and representation theory
cites work: Theory of nonlinear lattices
cites work: The topology of isospectral manifolds of tridiagonal matrices
full work available at URL: s0012-7094-90-06103-4
OpenAlex ID: W1545533256
description: scientific article; zbMATH DE number 4178148