Linear algebra meets Lie algebra: the Kostant-Wallach theory
type: Item
instance of: scholarly article
title: Linear algebra meets Lie algebra: the Kostant-Wallach theory
zbMATH Open document ID: 1227.15012
author: Noam Shomron
author: Beresford N. Parlett
published in: Linear Algebra and its Applications
publication date: 2009-10-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/0809.1204
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A29
zbMATH DE Number: 5612552
zbMATH Keywords: Ritz values
zbMATH Keywords: Hessenberg matrices
zbMATH Keywords: Gelfand-Zeitlin group
zbMATH Keywords: control theory
zbMATH Keywords: group actions on varieties
zbMATH Keywords: integrable systems
zbMATH Keywords: Poisson manifolds
MaRDI profile type: Publication
OpenAlex ID: W2963617560
Wikidata QID: Q115344861
arXiv ID: 0809.1204
cites work: Introduction to Classical Integrable Systems
cites work: Gelfand-Zeitlin actions and rational maps
cites work: The Gelfand-Cetlin system and quantization of the complex flag manifolds
cites work: Q5477929
cites work: Q5482627
cites work: Action-angle Coordinates for Integrable Systems on Poisson Manifolds
cites work: Principal minors and diagonal similarity of matrices
cites work: Polynomial relations among principal minors of a \(4\times 4\)-matrix
cites work: Q4348515
cites work: Matrices with prescribed Ritz values
cites work: Integrable geodesic flows on homogeneous spaces
DOI: 10.1016/J.LAA.2009.06.007
description: scientific article