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Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
Rev.colomb.mat. vol.53 supl.1 Bogotá dez. 2019 Epub 24-Mar-2020
https://doi.org/10.15446/recolma.v53nsupl.84083
Artículos originales
Cyclic derivations, species realizations and potentials
Derivaciones cíclicas, realización por especies y potenciales
1 Tecnologico de Monterrey, México
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
En este artículo daremos un panorama de una generalización, introducida por R. Bautista y el autor, de la teoría de mutación de carcajes con potencial desarrollada en 2007 por Derksen-Weyman-Zelevinsky. Esta nueva construcción nos permite considerar álgebras semisimples de dimensión finita sobre F, donde F es cualquier campo. Daremos un resumen de los resultados de esta generalización y de sus principales consecuencias.
Palabras clave: realización por especies; mutación; carcaj con potencial; fuertemente primitivo
References
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Received: June 05, 2018; Accepted: September 16, 2018