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Values of the Huang–Ma invariant

A mix of human-written and AI-generated textHuman understanding: some partsmath.RA — Rings and Algebrasmath.CO — Combinatorics

Contributed by Qiyue Tang ↗

Version 1 / Oct 18, 2026 / CC BY 4.0

Abstract

We prove the binary-value conjecture of Huang and Ma for integer matrices admitting a fixed positive diagonal skew-symmetrizer. We determine the exact set of values in every size and construct matrices realizing each value.

Provenance statement

I wrote a prompt, and the AI took about 27 minutes to fully solve it. I then independently used AI to review and polish this article.

References

  1. A. Auel, O. Biesel, and J. Voight, Stickelberger's discriminant theorem for algebras , author manuscript dated August 20, 2022, https://jvoight.github.io/articles/stickelberger-082022.pdf.link
  2. R. Casals, A binary invariant of matrix mutation , arXiv:2311.03601v1 (2023), https://arxiv.org/abs/2311.03601v1.arXiv
  3. M. Huang and Q. Ma, A mutation invariant for skew-symmetrizable matrices , arXiv:2602.03194v1 (2026), https://arxiv.org/abs/2602.03194v1.arXiv
  4. A. I. Seven and İ . Ünal, Congruence invariants of matrix mutation , arXiv:2403.10626v2 (2024), https://arxiv.org/abs/2403.10626v2.arXiv

Version history

  1. v1Submitted by Qiyue TangInitial depositCurrentOct 18, 2026