Indecomposable representations for extended Dynkin quivers

2006/12/15 by Dirk Kussin, Kussin, Dirk, Hagen Meltzer +1
Mathematics · Physics and Astronomy · #16G20 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:16G20

paper · pdf · doi:10.48550/arxiv.math/0612453

arxiv created 2006/12/15 · openalex publication_date 2006/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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