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arXiv · 2403.10626

Congruence invariants of matrix mutation

Ahmet Seven·İbrahim Ünal
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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.

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Ahmet Seven, İbrahim Ünal. 2024-10-18. Congruence invariants of matrix mutation. https://arxiv.org/abs/2403.10626

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