Mutation Of Matrices Over Group Rings
Combinatorics
2026-01-23 v1 Rings and Algebras
Representation Theory
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.
Cite
@article{arxiv.2601.15920,
title = {Mutation Of Matrices Over Group Rings},
author = {Dani Kaufman and Carmen Alves Sabin},
journal= {arXiv preprint arXiv:2601.15920},
year = {2026}
}
Comments
13 pages, Comments Welcome!