Hermitian matrices of roots of unity and their characteristic polynomials

• المؤلفون الرئيسيون: Greaves, Gary Royden Watson, Woo, Chin Jian
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2023
• الموضوعات: Science::Mathematics; Hermitian Matrices; Roots of Unity
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/170926

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...