Sifat-Sifat Representasi Indekomposabel The Properties of Indecomposable Representations

The Properties of Indecomposable Representations

Authors

  • Vika Yugi Kurniawan Program Studi Matematika FMIPA Universitas Sebelas Maret

DOI:

https://doi.org/10.22487/25411969.2019.v8.i3.14598

Abstract

A directed graph is also called as a quiver  where  is a finite set of vertices,  is a set of arrows, and  are two maps from  to . A representation  of a quiver  is an assignment of a vector space  to each vertex  of  and a linear mapping  to each arrow.  We denote by  the direct sum of representasions  and  of a quiver  . A representation  is called indecomposable if  is not ishomorphic to a direct sum of non-zero representations. This paper study about the properties of indecomposable representations. These properties will be used to investigate the necessary and sufficient condition of indecomposable representations.

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Published

2019-12-30