Algebras of Finite Representation Type
| 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 |
