The Horn problem for real symmetric and quaternionic self-dual matrices

DOI10.3842/SIGMA.2019.029zbMath1451.15008arXiv1809.03394WikidataQ128020289 ScholiaQ128020289MaRDI QIDQ2633048

Jean-Bernard Zuber, Robert Coquereaux

Publication date: 8 May 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03394

zbMATH Keywords

polytopesLittlewood-Richardson coefficientszonal polynomialshoneycombsHorn problem

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Harmonic analysis on specific compact groups (43A75) Eigenvalues, singular values, and eigenvectors (15A18) Semisimple Lie groups and their representations (22E46) Coadjoint orbits; nilpotent varieties (17B08)

Related Items

On Horn's problem and its volume function ⋮ Projections of orbital measures and quantum marginal problems ⋮ Large deviation principles via spherical integrals ⋮ Revisiting Horn’s problem ⋮ On products of delta distributions and resultants ⋮ Corank-1 projections and the randomised Horn problem

Uses Software

• Mathematica
• SymPol$Package

Cites Work

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