Congruence invariants of matrix mutation

2025-03-01
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.
Journal of Pure and Applied Algebra
Citation Formats
A. İ. Seven and İ. Ünal, “Congruence invariants of matrix mutation,” Journal of Pure and Applied Algebra, vol. 229, no. 3, pp. 0–0, 2025, Accessed: 00, 2025. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85219071758&origin=inward.