Congruence invariants of matrix mutation

SEVEN A. İ., ÜNAL İ.

Journal of Pure and Applied Algebra, cilt.229, sa.3, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 229 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1016/j.jpaa.2025.107920
  • Dergi Adı: Journal of Pure and Applied Algebra
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.