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arXiv · 1504.07581

Eigenvalue resolution of self-adjoint matrices

Xuwen Zhu
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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.

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Xuwen Zhu. 2015-04-28. Eigenvalue resolution of self-adjoint matrices. https://doi.org/10.2140/pjm.2017.288.241

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