English

A binary invariant of matrix mutation

Combinatorics 2023-11-08 v1 Representation Theory

Abstract

We construct a binary mutation invariant for skew-symmetric integer matrices. The invariant is not an integer congruence invariant for matrices of odd size: we provide examples of congruent such matrices with different values for the invariant.

Keywords

Cite

@article{arxiv.2311.03601,
  title  = {A binary invariant of matrix mutation},
  author = {Roger Casals},
  journal= {arXiv preprint arXiv:2311.03601},
  year   = {2023}
}

Comments

9 pages

R2 v1 2026-06-28T13:13:24.796Z