AcademicArticleSCO_85044296668

abstract

• © 2019 World Scientific Publishing Company In this note, we show that a mutation theory of species with potential can be defined so that a certain class of skew-symmetrizable integer matrices have a species realization admitting a nondegenerate potential. This gives a partial affirmative answer to a question raised by Jan Geuenich and Daniel Labardini-Fragoso. We also provide an example of a class of skew-symmetrizable (Formula presented.) integer matrices, which are not globally unfoldable nor strongly primitive, and that have a species realization admitting a nondegenerate potential.