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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/21388 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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). |
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