dc.contributor.advisor Bergh, Petter Andreas dc.contributor.author Oldervoll, Marte dc.date.accessioned 2015-10-06T10:56:55Z dc.date.available 2015-10-06T10:56:55Z dc.date.created 2014-12-01 dc.date.issued 2014 dc.identifier ntnudaim:10953 dc.identifier.uri http://hdl.handle.net/11250/2352608 dc.description.abstract In this thesis we are considering finite dimensional algebras. We prove that any basic and indecomposable finite dimensional algebra A over an algebraically closed field k is isomorphic to a bound quiver algebra. Furthermore, if A is hereditary we prove that it is isomorphic to a path algebra. Finally, we prove that a path algebra is of finite representation type if and only if the underlying graph of the quiver is a Dynkin diagram. This is done using reflection functors. dc.language eng dc.publisher NTNU dc.subject Lektorutdanning med master i realfag, Matematikk og fysikk dc.title Algebras of Finite Representation Type dc.type Master thesis dc.source.pagenumber 87
﻿