On the diagonal product of special unitary matrices

We study the image of \(\textrm{SU}(n)\) under the diagonal product map. Using only elementary tools of linear algebra, analysis and general topology, we find the analytical formula for the boundary of this image and find all special unitary matrices whose diagonal product lies on that boundary.

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Bibliographic Details
Published in:arXiv.org 2023-12
Main Author: Miller, Tomasz
Format: Article
Language:English
Subjects:
Linear algebra
Matrices (mathematics)
Topology
Online Access:Get full text
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Description
Summary:We study the image of \(\textrm{SU}(n)\) under the diagonal product map. Using only elementary tools of linear algebra, analysis and general topology, we find the analytical formula for the boundary of this image and find all special unitary matrices whose diagonal product lies on that boundary.
ISSN:2331-8422