#### Vol. 288, No. 1, 2017

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### Xuwen Zhu

Vol. 288 (2017), No. 1, 241–255
##### 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.

##### Keywords
eigenvalue, resolution, self-adjoint matrices, unitary group action
Primary: 35P05
Secondary: 53C10