REPRESENTATION TYPE OF DYNKIN QUIVER AND LOOP

Quiver or directed graph can be used to represent algebras and modules. There are two types of quiver's representation, that are finite type and in finite type. Those two types can be determined from the number of its indecomposable representation. <br /> <br /> <br /> &...

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Main Author: ULA SAYYIDATUNNISA (NIM: 20115005), NURUL
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/23604
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:23604
spelling id-itb.:236042017-09-27T14:41:48ZREPRESENTATION TYPE OF DYNKIN QUIVER AND LOOP ULA SAYYIDATUNNISA (NIM: 20115005), NURUL Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/23604 Quiver or directed graph can be used to represent algebras and modules. There are two types of quiver's representation, that are finite type and in finite type. Those two types can be determined from the number of its indecomposable representation. <br /> <br /> <br /> <br /> <br /> <br /> In this thesis, we will investigate the representation type of loop quiver and Dynkin quiver referred to Gabriel's Theorem, by looking at pattern of inde- composable representation in An and Dn quiver, and also give a list of in- decomposable representation in E6;E7 and E8 quiver in form of graph of its dimension vectors. 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 Quiver or directed graph can be used to represent algebras and modules. There are two types of quiver's representation, that are finite type and in finite type. Those two types can be determined from the number of its indecomposable representation. <br /> <br /> <br /> <br /> <br /> <br /> In this thesis, we will investigate the representation type of loop quiver and Dynkin quiver referred to Gabriel's Theorem, by looking at pattern of inde- composable representation in An and Dn quiver, and also give a list of in- decomposable representation in E6;E7 and E8 quiver in form of graph of its dimension vectors.
format Theses
author ULA SAYYIDATUNNISA (NIM: 20115005), NURUL
spellingShingle ULA SAYYIDATUNNISA (NIM: 20115005), NURUL
REPRESENTATION TYPE OF DYNKIN QUIVER AND LOOP
author_facet ULA SAYYIDATUNNISA (NIM: 20115005), NURUL
author_sort ULA SAYYIDATUNNISA (NIM: 20115005), NURUL
title REPRESENTATION TYPE OF DYNKIN QUIVER AND LOOP
title_short REPRESENTATION TYPE OF DYNKIN QUIVER AND LOOP
title_full REPRESENTATION TYPE OF DYNKIN QUIVER AND LOOP
title_fullStr REPRESENTATION TYPE OF DYNKIN QUIVER AND LOOP
title_full_unstemmed REPRESENTATION TYPE OF DYNKIN QUIVER AND LOOP
title_sort representation type of dynkin quiver and loop
url https://digilib.itb.ac.id/gdl/view/23604
_version_ 1822020142584823808