Eigenvalue resolution of self-adjoint matrices
arXiv:1504.07581 · doi:10.2140/pjm.2017.288.241
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.
10 pages. To appear in Pacific Journal of Mathematics