CHARACTERISTIC OF INDECOMPOSABLE REPRESENTATION OF FINITE QUIVER

Let Q be a quiver. Its representation M=(M_x,M_α ) consist 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 base B. In this tesis we’ll s...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: SAPUTRA (20114011), BANYU
التنسيق: Final Project
اللغة:Indonesia
الوصول للمادة أونلاين:https://digilib.itb.ac.id/gdl/view/21387
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الوصف
الملخص:Let Q be a quiver. Its representation M=(M_x,M_α ) consist 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 base B. In this tesis we’ll see relation between indecomposable representation and its coefficient quiver. Moreover we’ll see relation between simple M and its self extension Ext1KQ (M,M).