English

On the diagonal product of special unitary matrices

Rings and Algebras 2023-12-21 v1

Abstract

We study the image of SU(n)\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.

Keywords

Cite

@article{arxiv.2312.12448,
  title  = {On the diagonal product of special unitary matrices},
  author = {Tomasz Miller},
  journal= {arXiv preprint arXiv:2312.12448},
  year   = {2023}
}

Comments

14 pages, 2 figures