Congruence invariants of matrix mutation
Combinatorics
2024-10-21 v2 Rings and Algebras
Abstract
Motivated by the recent work of R. Casals on binary invariants for matrix mutation, we study the matrix congruence relation on quasi-Cartan matrices. We obtain a classification and determine normal forms modulo 4. We also establish their mutation invariance properties. In particular, we obtain new mutation invariants, which include the one obtained by R. Casals.
Keywords
Cite
@article{arxiv.2403.10626,
title = {Congruence invariants of matrix mutation},
author = {Ahmet Seven and İbrahim Ünal},
journal= {arXiv preprint arXiv:2403.10626},
year = {2024}
}
Comments
14 pages; minor editorial changes