Let Q be a Dynkin quiver of type A and K be an algebraically closedfield. We start with the preprojective algebra Λ associated to Q andpresent a 2-cluster tilting module of Λ constructed by Geiss, Leclerc, andSchr¨oer.After that we move on to something more general. Let A be a drepresentationfinite algebra, its (d+1)-preprojective algebra has a (d+1)-cluster tilting module given by Iyama and Opperman, we shall comparethis with the case d = 1. Then we will compute an example where d = 2. In both cases we will investigate the endomorphism algebra of thecorresponding d-cluster tilting module.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:uu-488519 |
| Date | January 2022 |
| Creators | Tsang, Hin Chung Henry |
| Publisher | Uppsala universitet, Algebra, logik och representationsteori |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | U.U.D.M. project report ; 2022:35 |
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