Differential quiver algebras and tree modules

作者：Jimenez Gonzalez Jesus Arturo

来源：Linear Algebra and Its Applications, 2015, 485: 267-288.

DOI：10.1016/j.laa.2015.07.034

• Quivers
• Exceptional representations
• Ditalgebras
• Coefficient quivers

In this paper we extend a theorem of Ringel on the existence of tree bases for exceptional modules [1] to the context of quiver algebras with differential, using reduction techniques. We give some examples which show that the reduction functors provide efficient and implementable algorithms for the analysis and construction of tree presentations, including minimal projective presentations, representations of posets and Kronecker modules.

• 出版日期2015-11-15