Cyclic derivations, species realizations and potentials

Daniel López-Aguayo

Publicado

2019-12-11

Cyclic derivations, species realizations and potentials

Derivaciones cíclicas, realización por especies y potenciales

Palabras clave:

species realization, mutation, quiver with potential, strongly primitive (en)
realización por especies, mutación, carcaj con potencial, fuertemente primitivo (es)

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Autores/as

Daniel López-Aguayo Tecnológico de Monterrey

Resumen (en)
Resumen (es)

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.

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.

Citas

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