Abstract

LOPEZ-AGUAYO, Daniel. Cyclic derivations, species realizations and potentials. Rev.colomb.mat. [online]. 2019, vol.53, suppl.1, pp.185-194.  Epub Mar 24, 2020. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v53nsupl.84083.

In this paper we give an overview of a generalization, introduced by R. Bautista and the author, of the theory of mutation of quivers with potential developed in 2007 by Derksen-Weyman-Zelevinsky. This new construction allows us to consider finite dimensional semisimple F-algebras, where F is any field. We give a brief account of the results concerning this generalization and its main consequences.

Keywords : species realization; mutation; quiver with potential; strongly primitive.

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