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arXiv · 2601.15920

Mutation Of Matrices Over Group Rings

Dani Kaufman·Carmen Alves Sabin
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Abstract

We give a precise definition of mutation of skew symmetrizable matrices over group rings and relate it to folding and mutation of quivers with symmetries. These matrices can have non-zero diagonal entries and we explain a mutation rule in some of these cases as well. This new rule comes from a notion of a generalized mutation of an entire quiver or sub-quiver.

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Dani Kaufman, Carmen Alves Sabin. 2026-01-22. Mutation Of Matrices Over Group Rings. https://arxiv.org/abs/2601.15920

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