CHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER

Let Q be a quiver. Its representation M=(M_x,M_α ) consists of family of vector spaces M_x indexed by vertices of Q together with a family of linear maps M_α indexed by the arrows of Q. Coefficient quiver of representation M can be constructed by the basis B. In this thesis, we wil...

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Main Author: SAPUTRA (20114011), BANYU
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/21388
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:21388
spelling id-itb.:213882017-09-27T14:41:49ZCHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER SAPUTRA (20114011), BANYU Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/21388 Let Q be a quiver. Its representation M=(M_x,M_α ) consists of family of vector spaces M_x indexed by vertices of Q together with a family of linear maps M_α indexed by the arrows of Q. Coefficient quiver of representation M can be constructed by the basis B. In this thesis, we will see the relation between indecomposable representation and its coefficient quiver. Moreover we will see the relation between simple M and its self extension Ext_KQ^1 (M,M). text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Let Q be a quiver. Its representation M=(M_x,M_α ) consists of family of vector spaces M_x indexed by vertices of Q together with a family of linear maps M_α indexed by the arrows of Q. Coefficient quiver of representation M can be constructed by the basis B. In this thesis, we will see the relation between indecomposable representation and its coefficient quiver. Moreover we will see the relation between simple M and its self extension Ext_KQ^1 (M,M).
format Theses
author SAPUTRA (20114011), BANYU
spellingShingle SAPUTRA (20114011), BANYU
CHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER
author_facet SAPUTRA (20114011), BANYU
author_sort SAPUTRA (20114011), BANYU
title CHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER
title_short CHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER
title_full CHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER
title_fullStr CHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER
title_full_unstemmed CHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER
title_sort characteristic of indecomposable representation of finite quiver
url https://digilib.itb.ac.id/gdl/view/21388
_version_ 1822019483691122688