The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Coquereaux, R., Zuber, J.-B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210193
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices / R. Coquereaux, J.-B. Zuber // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 34 назв. — англ.

Horn's problem, i.e., the study of the eigenvalues of the sum C=A+B of two matrices, given the spectrum of A and of B, is re-examined, comparing the case of real symmetric, complex Hermitian, and self-dual quaternionic 3×3 matrices. In particular, what can be said on the probability distributio...