Congruence invariants of matrix mutation

SEVEN A. İ., ÜNAL İ.

Journal of Pure and Applied Algebra, vol.229, no.3, 2025 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 229 Issue: 3
  • Publication Date: 2025
  • Doi Number: 10.1016/j.jpaa.2025.107920
  • Journal Name: Journal of Pure and Applied Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Middle East Technical University Affiliated: Yes

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. In particular, we obtain a classification and determine normal forms modulo 4. As an application, we obtain new mutation invariants, which include the one obtained by R. Casals.