Congruence invariants of matrix mutation
Journal of Pure and Applied Algebra, cilt.229, sa.3, 2025 (SCI-Expanded, Scopus)
- 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.