Cyclic derivations, species realizations and potentials

2018/06/14 by López-Aguayo, Daniel
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1806.05586

Abstract

In this survey 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.

Related

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• Mutations for quivers with potentials: Oberwolfach talk, April 2007
• Quivers with potentials and their representations I: Mutations
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• Derksen-Weyman-Zelevinsky mutations of infinite-dimensional modules I: Foundations