Eigenvalue resolution of self-adjoint matrices
Differential Geometry
2017-04-19 v2 Spectral Theory
Abstract
Resolution of a compact group action in the sense described by Albin and Melrose is applied to the conjugation action by the unitary group on self-adjoint matrices. It is shown that the eigenvalues are smooth on the resolved space and that the trivial bundle smoothly decomposes into the direct sum of global one-dimensional eigenspaces.
Cite
@article{arxiv.1504.07581,
title = {Eigenvalue resolution of self-adjoint matrices},
author = {Xuwen Zhu},
journal= {arXiv preprint arXiv:1504.07581},
year = {2017}
}
Comments
10 pages. To appear in Pacific Journal of Mathematics