Eigenvalues, singular values, and the O'Shea-Sjamaar Theorem
Commutative Algebra
2024-01-31 v2 Representation Theory
Abstract
The main focus of this work is the study of several cones relating the eigenvalues or singular values of a matrix to those of its off-diagonal blocks.
Keywords
Cite
@article{arxiv.2303.11653,
title = {Eigenvalues, singular values, and the O'Shea-Sjamaar Theorem},
author = {Paul-Emile Paradan},
journal= {arXiv preprint arXiv:2303.11653},
year = {2024}
}
Comments
In this second version, we have removed our comments on the Fomin-Fulton-Li-Poon article, as our calculation of the example A(3,3), which initially contradicted one of their assertions, was incorrect. We have also modified the introduction and added small sections entitled ''matrix identities'', which provide a better understanding of the identities associated with the O'Shea-Sjamaar theorem