dc.contributor.advisor | Oppermann, Steffen | |
dc.contributor.author | Karlsen, Terje Bull | |
dc.date.accessioned | 2019-09-11T11:19:31Z | |
dc.date.created | 2016-01-01 | |
dc.date.issued | 2016 | |
dc.identifier | ntnudaim:11748 | |
dc.identifier.uri | http://hdl.handle.net/11250/2616024 | |
dc.description.abstract | Tau-tilting theory was recently introduced by Adachi, Iyama and Reiten. Their main aim was to develop a generalization of classical tilting theory where mutation is always possible. The inspiration for this came mainly from the recently developed cluster-tilting theory where there is such a result.
An inspiration for using tau-rigid modules, which were introduced by Auslander and Smalø in the early eighties and are generalizations of classical partial tilting modules, also came from cluster-tilting theory where the notion of tau-rigid appears naturally in connection with modules over 2-CY-tilted algebras.
In order for mutation to be always possible one needs also take into account the notion of support tilting as introduced by Ingalls/ Thomas and Ringel.
In this way we get that an almost complete support tau-tilting module (or to be exact, an almost complete support tau-tilting pair) over any finite dimensional algebra has two complements, i.e. mutation is always possible. | en |
dc.language | eng | |
dc.publisher | NTNU | |
dc.subject | Matematikk, Algebra | en |
dc.title | Tau-tilting Theory in Representation Theory of Finite Dimensional Algebras | en |
dc.type | Master thesis | en |
dc.source.pagenumber | 87 | |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi og elektroteknikk,Institutt for matematiske fag | nb_NO |
dc.date.embargoenddate | 10000-01-01 | |