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dc.contributor.advisorBakke Buan, Aslaknb_NO
dc.contributor.authorGrimeland, Benediktenb_NO
dc.date.accessioned2014-12-19T13:57:38Z
dc.date.available2014-12-19T13:57:38Z
dc.date.created2010-09-02nb_NO
dc.date.issued2009nb_NO
dc.identifier347208nb_NO
dc.identifierntnudaim:4420nb_NO
dc.identifier.urihttp://hdl.handle.net/11250/258283
dc.description.abstractThe cluster complex of a basic hereditary artin algebra is defined, by constructing a poset T_H. A proof is given that the poset T_H is an abstract simplicial polytope. We define tilting modules, the Bongartz complement, and the relative Bongartz complement and look at the properties. We define approximations and extension and give proofs of the basic properties. We also define perpendicular categories, and give a brief overview of AR-theory.nb_NO
dc.languageengnb_NO
dc.publisherInstitutt for matematiske fagnb_NO
dc.subjectntnudaimno_NO
dc.subjectMMA matematikkno_NO
dc.subjectAlgebrano_NO
dc.titleConnectednes of the Cluster Complexnb_NO
dc.typeMaster thesisnb_NO
dc.source.pagenumber71nb_NO
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fagnb_NO


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