2006•arXiv (Cornell University)Open access

Indecomposable representations for extended Dynkin quivers

Dirk Kussin, Hagen Meltzer

Abstract

We describe a method for an explicit determination of indecomposable preprojective and preinjective representations for extended Dynkin quivers by vector spaces and matrices. This method uses tilting theory and the explicit knowledge of indecomposable modules over the corresponding canonical algebra of domestic type.

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Key concepts: Indecomposable module, Mathematics, Pure mathematics, Type (biology), Algebra over a field, Biology, Ecology