Hermitian matrices of roots of unity and their characteristic polynomials

We investigate spectral conditions on Hermitian matrices of roots of unity. Our main results are conjecturally sharp upper bounds on the number of residue classes of the characteristic polynomial of such matrices modulo ideals generated by powers of (1−ζ), where ζ is a root of unity. We also prove a...

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Detalhes bibliográficos
Main Authors: Greaves, Gary Royden Watson, Woo, Chin Jian
Outros Autores: School of Physical and Mathematical Sciences
Formato: Journal Article
Idioma:English
Publicado em: 2023
Assuntos:
Acesso em linha:https://hdl.handle.net/10356/170926