On a Lie-theoretic approach to generalized doubly stochastic matrices and applications

DOI10.1080/0308108031000140687zbMath1075.15024OpenAlexW2000518810WikidataQ115300331 ScholiaQ115300331MaRDI QIDQ4464272

Bassam Mourad

Publication date: 27 May 2004

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0308108031000140687

zbMATH Keywords

Lie groupsLie algebrasinverse eigenvalue problemgeneralized doubly stochastic matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Lie algebras of Lie groups (22E60) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Lie algebras and Lie superalgebras (17B99) Stochastic matrices (15B51)

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Cites Work

• Some applications of doubly stochastic matrices
• Generalized doubly stochastic and permutation matrices over a ring
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• A note on symmetric doubly-stochastic matrices
• Spectral properties of doubly-stochastic matrices
• Essentially doubly stochastic matrices. I: Elements of the theory over arbitrary fields
• Constructing symmetric nonnegative matrices
• Angular momentum, convex Polyhedra and Algebraic Geometry
• Row Stochastic Matrices Similar to Doubly Stochastic Matrices
• Convexity and Commuting Hamiltonians
• Kostant's convexity theorem and the compact classical groups
• On the extreme points of a certain convex polytope

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