On the distribution of the spectrum of the sum of two Hermitian or real symmetric matrices

DOI10.1016/j.aam.2005.12.007zbMath1115.22010OpenAlexW2082436626MaRDI QIDQ863314

Assaf Goldberger, Avital Frumkin

Publication date: 26 January 2007

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2005.12.007

zbMATH Keywords

Hermitian matricesunitary representationsmeasureYoung tableauxEigenvalues

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Semisimple Lie groups and their representations (22E46)

Related Items (10)

The Horn problem for real symmetric and quaternionic self-dual matrices ⋮ Derivative principles for invariant ensembles ⋮ Unnamed Item ⋮ Eigenvalue distributions of reduced density matrices ⋮ Horn's problem and Fourier analysis ⋮ The absolute continuity of convolutions of orbital measures in symmetric spaces ⋮ THE -SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS ⋮ Sums of adjoint orbits and \(L^2\)-singular dichotomy for \(SU(m)\) ⋮ Harmonic analysis for rank-1 randomised Horn problems ⋮ Corank-1 projections and the randomised Horn problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Triple multiplicities for \(s\ell (r+1)\) and the spectrum of the exterior algebra of the adjoint representation
• Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
• Stable bundles, representation theory and Hermitian operators
• Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Invariant measure on sums of symmetric 3*3 matrices with specified eigenvalues
• Sums of adjoint orbits
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix

This page was built for publication: On the distribution of the spectrum of the sum of two Hermitian or real symmetric matrices