  Motivated by the mutation theory of quivers with potentials developed by
Derksen-Weyman-Zelevinsky, and the representation-theoretic approach to cluster
algebras it provides, we propose a mutation theory of species with potentials
for species that arise from skew-symmetrizable matrices that admit a
skew-symmetrizer with pairwise coprime diagonal entries. The class of
skew-symmetrizable matrices covered by the mutation theory proposed here
contains a class of matrices that do not admit global unfoldings, that is,
unfoldings compatible with all possible sequences of mutations.

Rings and Algebras;Representation Theory